mathjs/docs/reference/functions/gamma.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function gamma

Compute the gamma function of a value using Lanczos approximation for
small values, and an extended Stirling approximation for large values.

For matrices, the function is evaluated element wise.


## Syntax

```js
math.gamma(n)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`n` | number &#124; Array &#124; Matrix | A real or complex number

### Returns

Type | Description
---- | -----------
number &#124; Array &#124; Matrix | The gamma of `n`


## Examples

```js
math.gamma(5)       // returns 24
math.gamma(-0.5)    // returns -3.5449077018110335
math.gamma(math.i)  // returns -0.15494982830180973 - 0.49801566811835596i
```


## See also

[combinations](combinations.md),
[factorial](factorial.md),
[permutations](permutations.md)