JavaScript function declaration syntax: var fn = function() {} vs function fn() {}

First I want to correct Greg: function abc(){} is scoped too — the name abc is defined in the scope where this definition is encountered. Example:

function xyz(){
  function abc(){};
  // abc is defined here...
}
// ...but not here

Secondly, it is possible to combine both styles:

var xyz = function abc(){};

xyz is going to be defined as usual, abc is undefined in all browsers but Internet Explorer — do not rely on it being defined. But it will be defined inside its body:

var xyz = function abc(){
  // xyz is visible here
  // abc is visible here
}
// xyz is visible here
// abc is undefined here

If you want to alias functions on all browsers, use this kind of declaration:

function abc(){};
var xyz = abc;

In this case, both xyz and abc are aliases of the same object:

console.log(xyz === abc); // prints "true"

One compelling reason to use the combined style is the "name" attribute of function objects (not supported by Internet Explorer). Basically when you define a function like

function abc(){};
console.log(abc.name); // prints "abc"

its name is automatically assigned. But when you define it like

var abc = function(){};
console.log(abc.name); // prints ""

its name is empty — we created an anonymous function and assigned it to some variable.

Another good reason to use the combined style is to use a short internal name to refer to itself, while providing a long non-conflicting name for external users:

// Assume really.long.external.scoped is {}
really.long.external.scoped.name = function shortcut(n){
  // Let it call itself recursively:
  shortcut(n - 1);
  // ...
  // Let it pass itself as a callback:
  someFunction(shortcut);
  // ...
}

In the example above we can do the same with an external name, but it'll be too unwieldy (and slower).

(Another way to refer to itself is to use arguments.callee, which is still relatively long, and not supported in the strict mode.)

Deep down, JavaScript treats both statements differently. This is a function declaration:

function abc(){}

abc here is defined everywhere in the current scope:

// We can call it here
abc(); // Works

// Yet, it is defined down there.
function abc(){}

// We can call it again
abc(); // Works

Also, it hoisted through a return statement:

// We can call it here
abc(); // Works
return;
function abc(){}

This is a function expression:

var xyz = function(){};

xyz here is defined from the point of assignment:

// We can't call it here
xyz(); // UNDEFINED!!!

// Now it is defined
xyz = function(){}

// We can call it here
xyz(); // works

Function declaration vs. function expression is the real reason why there is a difference demonstrated by Greg.

Fun fact:

var xyz = function abc(){};
console.log(xyz.name); // Prints "abc"

Personally, I prefer the "function expression" declaration because this way I can control the visibility. When I define the function like

var abc = function(){};

I know that I defined the function locally. When I define the function like

abc = function(){};

I know that I defined it globally providing that I didn't define abc anywhere in the chain of scopes. This style of definition is resilient even when used inside eval(). While the definition

function abc(){};

depends on the context and may leave you guessing where it is actually defined, especially in the case of eval() — the answer is: It depends on the browser.

Here's the rundown on the standard forms that create functions: (Originally written for another question, but adapted after being moved into the canonical question.)

Terms:

• ES5: ECMAScript 5th edition, 2009
• ES2015: ECMAScript 2015 (also known as "ES6")

The quick list:

• Function Declaration

• "Anonymous" function Expression (which despite the term, sometimes get names)

• Named function Expression

• Accessor Function Initializer (ES5+)

• Arrow Function Expression (ES2015+)

• Method Declaration in Object Initializer (ES2015+)

• Constructor and Method Declarations in class (ES2015+)

Function Declaration

The first form is a function declaration, which looks like this:

function x() {
    console.log('x');
}

A function declaration is a declaration; it's not a statement or expression. As such, you don't follow it with a ; (although doing so is harmless).

A function declaration is processed when execution enters the context in which it appears, before any step-by-step code is executed. The function it creates is given a proper name (x in the example above), and that name is put in the scope in which the declaration appears.

Because it's processed before any step-by-step code in the same context, you can do things like this:

x(); // Works even though it's above the declaration
function x() {
    console.log('x');
}

Also because it's not part of the step-by-step execution of the code, you can't put it inside a control structure like try, if, switch, while, etc.

if (someCondition) {
    function foo() {    // <===== INVALID AND WILL FAIL ON
    }                   //        MANY ENGINES
}

Some engines will handle the above even though it's invalid, by rewriting it as a function expression on-the-fly. There's talk of adding a function statement to the next spec (ECMAScript6) to codify that. But with current engines, it will not work reliably; don't do it.

"Anonymous" function Expression

The second common form is called an anonymous function expression:

var y = function () {
    console.log('y');
};

Like all expressions, it's evaluated when it's reached in the step-by-step execution of the code.

In ES5, the function this creates has no name (it's anonymous). In ES2015, the function is assigned a name if possible by inferring it from context. In the example above, the name would be y. Something similar is done when the function is the value of a property initializer. (For details on when this happens and the rules, search for SetFunctionName in the ES2015 specification — it appears all over the place.)

Named function Expression

The third form is a named function expression ("NFE"):

var z = function w() {
    console.log('zw')
};

The function this creates has a proper name (w in this case). Like all expressions, this is evaluated when it's reached in the step-by-step execution of the code. The name of the function is not added to the scope in which the expression appears; the name is in scope within the function itself:

var z = function w() {
    console.log(typeof w); // "function"
};
console.log(typeof w);     // "undefined"

Note that NFEs have frequently been a source of bugs for JavaScript implementations. IE8 and earlier, for instance, handle NFEs completely incorrectly, creating two different functions at two different times. Early versions of Safari had issues as well. The good news is that current versions of browsers (IE9 and up, current Safari) don't have those issues any more. (But as of this writing, sadly, IE8 remains in widespread use, and so using NFEs with code for the web in general is still problematic.)

Accessor Function Initializer (ES5+)

Sometimes functions can sneak in largely unnoticed; that's the case with accessor functions. Here's an example:

var obj = {
    value: 0,
    get f() {
        return this.value;
    },
    set f(v) {
        this.value = v;
    }
};
console.log(obj.f);         // 0
console.log(typeof obj.f);  // "number"

Note that when I used the function, I didn't use ()! That's because it's an accessor function for a property. We get and set the property in the normal way, but behind the scenes, the function is called.

You can also create accessor functions with Object.defineProperty, Object.defineProperties, and the lesser-known second argument to Object.create.

Arrow Function Expression (ES2015+)

ES2015 brings us the arrow function. Here's one example:

var a = [1, 2, 3];
var b = a.map(n => n * 2);
console.log(b.join(", ")); // 2, 4, 6

See that n => n * 2 thing hiding in the map() call? That's a function.

A couple of things about arrow functions:

1. Their this is lexically bound, not determined when they're called. This means that the this within them is the same as the this where they're created.

2. As you'll have noticed with the above, you don't use the keyword function; instead, you use =>.

The n => n * 2 example above is one form of them. If you have multiple arguments to pass the function, you use parens:

var a = [1, 2, 3];
var b = a.map((n, i) => n * i);
console.log(b.join(", ")); // 0, 2, 6

(Remember that Array#map passes the entry as the first argument, and the index as the second.)

If you're doing more than just a single expression, use {} as normal:

var a = [
  {first: "Joe", last: "Bloggs"},
  {first: "Albert", last: "Bloggs"},
  {first: "Mary", last: "Albright"}
];
a = a.sort((a, b) => {
  var rv = a.last.localeCompare(b.last);
  if (rv === 0) {
    rv = a.first.localeCompare(b.first);
  }
  return rv;
});
console.log(JSON.stringify(a));

Method Declaration in Object Initializer (ES2015+)

ES2015 allows a shorter form of declaring a property that references a function; it looks like this:

var o = {
    foo() {
    }
};

the equivalent in ES5 and earlier would be:

var o = {
    foo: function foo() {
    }
};

Constructor and Method Declarations in class (ES2015+)

ES2015 brings us class syntax, including declared constructors and methods:

class Person {
    constructor(firstName, lastName) {
        this.firstName = firstName;
        this.lastName = lastName;
    }

    getFullName() {
        return this.firstName + " " + this.lastName;
    }
}

There are two function declarations above: One for the constructor, which gets the name Person, and one for getFullName, which is a function assigned to Person.prototype.

Speaking about the global context, both, the var statement and a FunctionDeclaration at the end will create a non-deleteable property on the global object, but the value of both can be overwritten.

The subtle difference between the two ways is that when the Variable Instantiation process runs (before the actual code execution) all identifiers declared with var will be initialized with undefined, and the ones used by the FunctionDeclaration's will be available since that moment, for example:

 alert(typeof foo); // 'function', it's already available
 alert(typeof bar); // 'undefined'
 function foo () {}
 var bar = function () {};
 alert(typeof bar); // 'function'

The assignment of the bar FunctionExpression takes place until runtime.

A global property created by a FunctionDeclaration can be overwritten without any problems just like a variable value, e.g.:

 function test () {}
 test = null;

Another obvious difference between your two examples is that the first function doesn't have a name, but the second has it, which can be really useful when debugging (i.e. inspecting a call stack).

About your edited first example (foo = function() { alert('hello!'); };), it is an undeclared assignment, I would highly encourage you to always use the var keyword.

With an assignment, without the var statement, if the referenced identifier is not found in the scope chain, it will become a deleteable property of the global object.

Also, undeclared assignments throw a ReferenceError on ECMAScript 5 under Strict Mode.

A must read:

• Named function expressions demystified

Note: This answer has been merged from another question, in which the major doubt and misconception from the OP was that identifiers declared with a FunctionDeclaration, couldn't be overwritten which is not the case.

The two code snippets you've posted there will, for almost all purposes, behave the same way.

However, the difference in behaviour is that with the first variant (var functionOne = function() {}), that function can only be called after that point in the code.

With the second variant (function functionTwo()), the function is available to code that runs above where the function is declared.

This is because with the first variant, the function is assigned to the variable foo at run time. In the second, the function is assigned to that identifier, foo, at parse time.

More technical information

JavaScript has three ways of defining functions.

1. Your first snippet shows a function expression. This involves using the "function" operator to create a function - the result of that operator can be stored in any variable or object property. The function expression is powerful that way. The function expression is often called an "anonymous function", because it does not have to have a name,
2. Your second example is a function declaration. This uses the "function" statement to create a function. The function is made available at parse time and can be called anywhere in that scope. You can still store it in a variable or object property later.
3. The third way of defining a function is the "Function()" constructor, which is not shown in your original post. It's not recommended to use this as it works the same way as eval(), which has its problems.

Other commenters have already covered the semantic difference of the two variants above. I wanted to note a stylistic difference: Only the "assignment" variation can set a property of another object.

I often build JavaScript modules with a pattern like this:

(function(){
    var exports = {};

    function privateUtil() {
            ...
    }

    exports.publicUtil = function() {
            ...
    };

    return exports;
})();

With this pattern, your public functions will all use assignment, while your private functions use declaration.

(Note also that assignment should require a semicolon after the statement, while declaration prohibits it.)

A better explanation to Greg's answer

functionTwo();
function functionTwo() {
}

Why No error? We were always taught that expressions are excuted from top to bottom??

Because:

Function declarations and variable declarations are always moved (hoisted) invisibly to the top of their containing scope by the JavaScript interpreter. Function parameters and language-defined names are, obviously, already there. ben cherry

This means that code like this:

functionOne();                  ---------------      var functionOne;
                                | is actually |      functionOne(); 
var functionOne = function(){   | interpreted |-->       
};                              |    like     |      functionOne = function(){
                                ---------------      };

Notice that the assignment portion of the declarations were not hoisted. Only the name is hoisted.

But in the case with function declarations, where the entire function body will be hoisted as well.

functionTwo();              ---------------      function functionTwo() {
                            | is actually |      };
function functionTwo() {    | interpreted |-->       
}                           |    like     |      functionTwo();
                            ---------------      

An illustration of when to prefer the first method on the second one is when you need to avoid overriding a function's previous definition.

With :

if (condition){
    function myfunction(){
        // some code 
    }
}

, this definition of myfunction will override any previous definition, since it will be done at parse-time.

While :

if (condition){
    var myfunction = function (){
        // some code
    }
}

does the correct job of defining myfunction only when condition is met.

An important reason is to add one and only one variable as the "Root" of your namespace...

var MyNamespace = {}
MyNamespace.foo= function() {

}

or

var MyNamespace {
  foo: function() {
  },
  ...
}

There are many techniques for namespacing. It's become more important with the plethora of JavaScript modules available.

Also see How do I declare a namespace in JavaScript?

A function declaration and a function expression assigned to a variable behave the same once the binding is established.

There is a difference however at how and when the function object is actually associated with its variable. This difference is due to the mechanism called variable hoisting in JavaScript.

Basically, all function declarations and variable declarations are hoisted to the top of the function in which the declaration occurs (this is why we say that JavaScript has function scope).

• When a function declaration is hoisted, the function body "follows" so when the function body is evaluated, the variable will immediately be bound to a function object.

• When a variable declaration is hoisted, the initialization does not follow, but is "left behind". The variable is initialized to undefined at the start of the function body, and will be assigned a value at its original location in the code. (Actually, it will be assigned a value at every location where a declaration of a variable with the same name occurs.)

The order of hoisting is also important: function declarations take precedence over variable declarations with the same name, and the last function declaration takes precedence over previous function declarations with the same name.

Some examples...

var foo = 1;
function bar() {
  if (!foo) {
    var foo = 10 }
  return foo; }
bar() // 10

Variable foo is hoisted to the top of the function, initialized to undefined, so that !foo is true, so foo is assigned 10. The foo outside of bar's scope plays no role and is untouched.

function f() {
  return a; 
  function a() {return 1}; 
  var a = 4;
  function a() {return 2}}
f()() // 2

function f() {
  return a;
  var a = 4;
  function a() {return 1};
  function a() {return 2}}
f()() // 2

Function declarations take precedence over variable declarations, and the last function declaration "sticks".

function f() {
  var a = 4;
  function a() {return 1}; 
  function a() {return 2}; 
  return a; }
f() // 4

In this example a is initialized with the function object resulting from evaluating the second function declaration, and then is assigned 4.

var a = 1;
function b() {
  a = 10;
  return;
  function a() {}}
b();
a // 1

Here the function declaration is hoisted first, declaring and initializing variable a. Next, this variable is assigned 10. In other words: the assignment does not assign to outer variable a.

Hoisting is the JavaScript interpreter’s action of moving all variable and function declarations to the top of the current scope.

However, only the actual declarations are hoisted. by leaving assignments where they are.

• variable's/Function's declared inside the page are global can access anywhere in that page.
• variable's/Functions declared inside the function are having local scope. means they are available/accessed inside the function body (scope), they are not available outside the function body.

Variable

Javascript is called loosely typed language. Which means Javascript variables can hold value of any Data-Type. Javascript automatically takes care of changing the variable-type based on the value/literal provided during runtime.

global_Page = 10;                                               var global_Page;      « undefined
    « Integer literal, Number Type.   -------------------       global_Page = 10;     « Number         
global_Page = 'Yash';                 |   Interpreted   |       global_Page = 'Yash'; « String
    « String literal, String Type.    «       AS        «       global_Page = true;   « Boolean 
var global_Page = true;               |                 |       global_Page = function (){          « function
    « Boolean Type                    -------------------                 var local_functionblock;  « undefined
global_Page = function (){                                                local_functionblock = 777;« Number
    var local_functionblock = 777;                              };  
    // Assigning function as a data.
};  

Function

function Identifier_opt ( FormalParameterList_opt ) { 
      FunctionBody | sequence of statements

      « return;  Default undefined
      « return 'some data';
}

• functions declared inside the page are hoisted to top of the page having global access.
• functions declared inside the function-block are hoisted to top of the block.

• Default return value of function is 'undefined', Variable declaration default value also 'undefined'

  Scope with respect to function-block global. 
  Scope with respect to page undefined | not available.
  

Function Declaration

function globalAccess() {                                  function globalAccess() {      
}                                  -------------------     }
globalAccess();                    |                 |     function globalAccess() { « Re-Defined / overridden.
localAccess();                     «   Hoisted  As   «         function localAccess() {
function globalAccess() {          |                 |         }
     localAccess();                -------------------         localAccess(); « function accessed with in globalAccess() only.
     function localAccess() {                              }
     }                                                     globalAccess();
}                                                          localAccess(); « ReferenceError as the function is not defined

Function Expression

        10;                 « literal
       (10);                « Expression                (10).toString() -> '10'
var a;                      
    a = 10;                 « Expression var              a.toString()  -> '10'
(function invoke() {        « Expression Function
 console.log('Self Invoking');                      (function () {
});                                                               }) () -> 'Self Invoking'

var f; 
    f = function (){        « Expression var Function
    console.log('var Function');                                   f ()  -> 'var Function'
    };

Function assigned to variable Example:

(function selfExecuting(){
    console.log('IIFE - Immediately-Invoked Function Expression');
}());

var anonymous = function (){
    console.log('anonymous function Expression');
};

var namedExpression = function for_InternalUSE(fact){
    if(fact === 1){
        return 1;
    }

    var localExpression = function(){
        console.log('Local to the parent Function Scope');
    };
    globalExpression = function(){ 
        console.log('creates a new global variable, then assigned this function.');
    };

    //return; //undefined.
    return fact * for_InternalUSE( fact - 1);   
};

namedExpression();
globalExpression();

javascript interpreted as

var anonymous;
var namedExpression;
var globalExpression;

anonymous = function (){
    console.log('anonymous function Expression');
};

namedExpression = function for_InternalUSE(fact){
    var localExpression;

    if(fact === 1){
        return 1;
    }
    localExpression = function(){
        console.log('Local to the parent Function Scope');
    };
    globalExpression = function(){ 
        console.log('creates a new global variable, then assigned this function.');
    };

    return fact * for_InternalUSE( fact - 1);    // DEFAULT UNDEFINED.
};

namedExpression(10);
globalExpression();

jsperf

The first example is a function declaration:

function abc(){}

The second example is a function expression:

var abc = function() {};

The main difference is how they are hoisted (lifted and declared). In the first example, the whole function declaration is hoisted. In the second example only the var 'abc' is hoisted, its value (the function) will be undefined, and the function itself remains at the position that it is declared.

To put it simply:

//this will work
abc(param);
function abc(){}

//this would fail
abc(param);
var abc = function() {}

To study more about this topic I strongly recommend you this link

In terms of code maintenance cost, named functions are more preferable:

• Independent from the place where they are declared (but still limited by scope).
• More resistant to mistakes like conditional initialization (you are still able to override if wanted to).
• The code becomes more readable by allocating local functions separately of scope functionality. Usually in the scope the functionality goes first, followed by declarations of local functions.
• In a debugger you will clearly see the function name on the call stack instead of an "anonymous/evaluated" function.

I suspect more PROS for named functions are follow. And what is listed as an advantage of named functions is a disadvantage for anonymous ones.

Historically, anonymous functions appeared from the inability of JavaScript as a language to list members with named functions:

{
    member:function() { /* How do I make "this.member" a named function? */
    }
}

I'm adding my own answer just because everyone else has covered the hoisting part thoroughly.

I've wondered about which way is better for a long while now, and thanks to http://jsperf.com now I know :)

Function declarations are faster, and that's what really matters in web dev right? ;)

I use the variable approach in my code for a very specific reason, the theory of which has been covered in an abstract way above, but an example might help some people like me, with limited JavaScript expertise.

I have code that I need to run with 160 independently-designed brandings. Most of the code is in shared files, but branding-specific stuff is in a separate file, one for each branding.

Some brandings require specific functions, and some do not. Sometimes I have to add new functions to do new branding-specific things. I am happy to change the shared coded, but I don't want to have to change all 160 sets of branding files.

By using the variable syntax, I can declare the variable (a function pointer essentially) in the shared code and either assign a trivial stub function, or set to null.

The one or two brandings that need a specific implementation of the function can then define their version of the function and assign this to the variable if they want, and the rest do nothing. I can test for a null function before I execute it in the shared code.

From people's comments above, I gather it may be possible to redefine a static function too, but I think the variable solution is nice and clear.

Greg's Answer is good enough, but I still would like to add something to it that I learned just now watching Douglas Crockford's videos.

Function expression:

var foo = function foo() {};

Function statement:

function foo() {};

The function statement is just a shorthand for var statement with a function value.

So

function foo() {};

expands to

var foo = function foo() {};

Which expands further to:

var foo = undefined;
foo = function foo() {};

And they are both hoisted to the top of the code.

@EugeneLazutkin gives an example where he names an assigned function to be able to use shortcut() as an internal reference to itself. John Resig gives another example - copying a recursive function assigned to another object in his Learning Advanced Javascript tutorial. While assigning functions to properties isn't strictly the question here, I recommend actively trying the tutorial out - run the code by clicking the button in the upper right corner, and double click the code to edit to your liking.

Examples from the tutorial: recursive calls in yell():

Tests fail when the original ninja object is removed. (page 13)

var ninja = { 
  yell: function(n){ 
    return n > 0 ? ninja.yell(n-1) + "a" : "hiy"; 
  } 
}; 
assert( ninja.yell(4) == "hiyaaaa", "A single object isn't too bad, either." ); 

var samurai = { yell: ninja.yell }; 
var ninja = null; 

try { 
  samurai.yell(4); 
} catch(e){ 
  assert( false, "Uh, this isn't good! Where'd ninja.yell go?" ); 
}

If you name the function that will be called recursively, the tests will pass. (page 14)

var ninja = { 
  yell: function yell(n){ 
    return n > 0 ? yell(n-1) + "a" : "hiy"; 
  } 
}; 
assert( ninja.yell(4) == "hiyaaaa", "Works as we would expect it to!" ); 

var samurai = { yell: ninja.yell }; 
var ninja = {}; 
assert( samurai.yell(4) == "hiyaaaa", "The method correctly calls itself." );

In computer science terms, we talk about anonymous functions and named functions. I think the most important difference is that an anonymous function is not bound to an name, hence the name anonymous function. In JavaScript it is a first class object dynamically declared at runtime.

For more information on anonymous functions and lambda calculus, Wikipedia is a good start (http://en.wikipedia.org/wiki/Anonymous_function).

If you would use those functions to create objects, you would get:

var objectOne = new functionOne();
console.log(objectOne.__proto__); // prints "Object {}" because constructor is an anonymous function

var objectTwo = new functionTwo();
console.log(objectTwo.__proto__); // prints "functionTwo {}" because constructor is a named function

Another difference that is not mentioned in the other answers is that if you use the anonymous function

var functionOne = function() {
    // Some code
};

and use that as a constructor as in

var one = new functionOne();

then one.constructor.name will not be defined. Function.name is non-standard but is supported by Firefox, Chrome, other Webkit-derived browsers and IE 9+.

With

function functionTwo() {
    // Some code
}
two = new functionTwo();

it is possible to retrieve the name of the constructor as a string with two.constructor.name.

I'm listing out the differences below:

1. A function declaration can be placed anywhere in the code. Even if it is invoked before the definition appears in code, it gets executed as function declaration is committed to memory or in a way it is hoisted up, before any other code in the page starts execution.

   Take a look at the function below:

   function outerFunction() {
       function foo() {
          return 1;
       }
       return foo();
       function foo() {
          return 2;
       }
   }
   alert(outerFunction()); // Displays 2
   

   This is because, during execution, it looks like:-

   function foo() {  // The first function declaration is moved to top
       return 1;
   }
   function foo() {  // The second function declaration is moved to top
       return 2;
   }
   function outerFunction() {
       return foo();
   }
   alert(outerFunction()); //So executing from top to bottom,
                           //the last foo() returns 2 which gets displayed
   

   A function expression, if not defined before calling it, will result in an error. Also, here the function definition itself is not moved to the top or committed to memory like in the function declarations. But the variable to which we assign the function gets hoisted up and undefined gets assigned to it.

   Same function using function expressions:

   function outerFunction() {
       var foo = function() {
          return 1;
       }
       return foo();
       var foo = function() {
          return 2;
       }
   }
   alert(outerFunction()); // Displays 1
   

   This is because during execution, it looks like:

   function outerFunction() {
      var foo = undefined;
      var foo = undefined;
   
      foo = function() {
         return 1;
      };
      return foo ();
      foo = function() {   // This function expression is not reachable
         return 2;
      };
   }
   alert(outerFunction()); // Displays 1
   

2. It is not safe to write function declarations in non-function blocks like if because they won't be accessible.

   if (test) {
       function x() { doSomething(); }
   }
   

3. Named function expression like the one below, may not work in Internet Explorer browsers prior to version 9.

   var today = function today() {return new Date()}
   

The first one (function doSomething(x)) should be part of an object notation.

The second one (var doSomething = function(x){ alert(x);}) is simply creating an anonymous function and assigning it to a variable, doSomething. So doSomething() will call the function.

You may want to know what a function declaration and function expression is.

A function declaration defines a named function variable without requiring variable assignment. Function declarations occur as standalone constructs and cannot be nested within non-function blocks.

function foo() {
    return 3;
}

ECMA 5 (13.0) defines the syntax as
function Identifier ( FormalParameterList_opt ) { FunctionBody }

In above condition the function name is visible within its scope and the scope of its parent (otherwise it would be unreachable).

And in a function expression

A function expression defines a function as a part of a larger expression syntax (typically a variable assignment ). Functions defined via functions expressions can be named or anonymous. Function expressions should not start with “function”.

// Anonymous function expression
var a = function() {
    return 3;
}

// Named function expression
var a = function foo() {
    return 3;
}

// Self-invoking function expression
(function foo() {
    alert("hello!");
})();

ECMA 5 (13.0) defines the syntax as
function Identifier_opt ( FormalParameterList_opt ) { FunctionBody }

In light of the "named functions show up in stack traces" argument, modern JavaScript engines are actually quite capable of representing anonymous functions.

As of this writing, V8, SpiderMonkey, Chakra and Nitro always refer to named functions by their names. They almost always refer to an anonymous function by its identifier if it has one.

SpiderMonkey can figure out the name of an anonymous function returned from another function. The rest can't.

If you really, really wanted your iterator and success callbacks to show up in the trace, you could name those too...

[].forEach(function iterator() {});

But for the most part it's not worth stressing over.

Harness (Fiddle)

'use strict';

var a = function () {
    throw new Error();
},
    b = function b() {
        throw new Error();
    },
    c = function d() {
        throw new Error();
    },
    e = {
        f: a,
        g: b,
        h: c,
        i: function () {
            throw new Error();
        },
        j: function j() {
            throw new Error();
        },
        k: function l() {
            throw new Error();
        }
    },
    m = (function () {
        return function () {
            throw new Error();
        };
    }()),
    n = (function () {
        return function n() {
            throw new Error();
        };
    }()),
    o = (function () {
        return function p() {
            throw new Error();
        };
    }());

console.log([a, b, c].concat(Object.keys(e).reduce(function (values, key) {
    return values.concat(e[key]);
}, [])).concat([m, n, o]).reduce(function (logs, func) {

    try {
        func();
    } catch (error) {
        return logs.concat('func.name: ' + func.name + '\n' +
                           'Trace:\n' +
                           error.stack);
        // Need to manually log the error object in Nitro.
    }

}, []).join('\n\n'));

V8

func.name: 
Trace:
Error
    at a (http://localhost:8000/test.js:4:11)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: b
Trace:
Error
    at b (http://localhost:8000/test.js:7:15)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: d
Trace:
Error
    at d (http://localhost:8000/test.js:10:15)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: 
Trace:
Error
    at a (http://localhost:8000/test.js:4:11)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: b
Trace:
Error
    at b (http://localhost:8000/test.js:7:15)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: d
Trace:
Error
    at d (http://localhost:8000/test.js:10:15)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: 
Trace:
Error
    at e.i (http://localhost:8000/test.js:17:19)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: j
Trace:
Error
    at j (http://localhost:8000/test.js:20:19)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: l
Trace:
Error
    at l (http://localhost:8000/test.js:23:19)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: 
Trace:
Error
    at http://localhost:8000/test.js:28:19
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: n
Trace:
Error
    at n (http://localhost:8000/test.js:33:19)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27

func.name: p
Trace:
Error
    at p (http://localhost:8000/test.js:38:19)
    at http://localhost:8000/test.js:47:9
    at Array.reduce (native)
    at http://localhost:8000/test.js:44:27 test.js:42

SpiderMonkey

func.name: 
Trace:
a@http://localhost:8000/test.js:4:5
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: b
Trace:
b@http://localhost:8000/test.js:7:9
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: d
Trace:
d@http://localhost:8000/test.js:10:9
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: 
Trace:
a@http://localhost:8000/test.js:4:5
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: b
Trace:
b@http://localhost:8000/test.js:7:9
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: d
Trace:
d@http://localhost:8000/test.js:10:9
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: 
Trace:
e.i@http://localhost:8000/test.js:17:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: j
Trace:
j@http://localhost:8000/test.js:20:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: l
Trace:
l@http://localhost:8000/test.js:23:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: 
Trace:
m</<@http://localhost:8000/test.js:28:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: n
Trace:
n@http://localhost:8000/test.js:33:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1


func.name: p
Trace:
p@http://localhost:8000/test.js:38:13
@http://localhost:8000/test.js:47:9
@http://localhost:8000/test.js:54:1

Chakra

func.name: undefined
Trace:
Error
   at a (http://localhost:8000/test.js:4:5)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at b (http://localhost:8000/test.js:7:9)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at d (http://localhost:8000/test.js:10:9)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at a (http://localhost:8000/test.js:4:5)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at b (http://localhost:8000/test.js:7:9)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at d (http://localhost:8000/test.js:10:9)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at e.i (http://localhost:8000/test.js:17:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at j (http://localhost:8000/test.js:20:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at l (http://localhost:8000/test.js:23:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at Anonymous function (http://localhost:8000/test.js:28:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at n (http://localhost:8000/test.js:33:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)


func.name: undefined
Trace:
Error
   at p (http://localhost:8000/test.js:38:13)
   at Anonymous function (http://localhost:8000/test.js:47:9)
   at Global code (http://localhost:8000/test.js:42:1)

Nitro

func.name: 
Trace:
a@http://localhost:8000/test.js:4:22
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: b
Trace:
b@http://localhost:8000/test.js:7:26
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: d
Trace:
d@http://localhost:8000/test.js:10:26
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: 
Trace:
a@http://localhost:8000/test.js:4:22
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: b
Trace:
b@http://localhost:8000/test.js:7:26
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: d
Trace:
d@http://localhost:8000/test.js:10:26
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: 
Trace:
i@http://localhost:8000/test.js:17:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: j
Trace:
j@http://localhost:8000/test.js:20:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: l
Trace:
l@http://localhost:8000/test.js:23:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: 
Trace:
http://localhost:8000/test.js:28:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: n
Trace:
n@http://localhost:8000/test.js:33:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

func.name: p
Trace:
p@http://localhost:8000/test.js:38:30
http://localhost:8000/test.js:47:13
reduce@[native code]
global code@http://localhost:8000/test.js:44:33

Both are different ways of defining a function. The difference is how the browser interprets and loads them into an execution context.

The first case is of function expressions which loads only when the interpreter reaches that line of code. So if you do it like the following, you will get an error that the functionOne is not a function.

functionOne();
var functionOne = function() {
    // Some code
};

The reason is that on the first line no value is assigned to functionOne, and hence it is undefined. We are trying to call it as a function, and hence we are getting an error.

On the second line we are assigning the reference of an anonymous function to functionOne.

The second case is of function declarations that loads before any code is executed. So if you do like the following you won't get any error as the declaration loads before code execution.

functionOne();
function functionOne() {
   // Some code
}

This is just two possible ways of declaring functions, and in the second way, you can use the function before declaration.

In Javascript there are 2 ways to create functions:

1. function declaration:

   function fn(){
     console.log("Hello");
   }
   fn();
   

   This is very basic, self-explanatory, used in many languages and standard across C family of languages. We declared a function defined it and executed it by calling it. What you should be knowing is that functions are actually objects in Javascript, internally we have created an object for above function and given it a name called fn or the reference to the object is stored in fn. Functions are objects in Javascript, an instance of function is actually an object instance.

2. function expression:

   var fn=function(){
     console.log("Hello");
   }
   fn();
   

   Javascript has first-class functions, that is create a function and assign it to a variable just like you create a string or number and assign it to a variable. Here, fn variable is assigned to a function. Reason for this concept is functions are objects in Javascript, fn is pointing to the object instance of the above function. We have initialized a function and assign it to a variable, its not executing the function and assigning the result.

http://jkoder.com/javascript-function-declaration-syntax-var-fn-function-vs-function-fn/

new Function() can be used to pass the function's body in a string. And hence this can be used to create dynamic functions. Also passing the script without executing the script.

var func = new Function("x", "y", "return x*y;");
function secondFunction(){
   var result;
   result = func(10,20);
   console.log ( result );
}

secondFunction()