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| 2 |
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| 3 | # Function gamma
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| 4 |
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| 5 | Compute the gamma function of a value using Lanczos approximation for
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| 6 | small values, and an extended Stirling approximation for large values.
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| 7 |
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| 8 | For matrices, the function is evaluated element wise.
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| 9 |
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| 10 |
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| 11 | ## Syntax
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| 12 |
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| 13 | ```js
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| 14 | math.gamma(n)
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| 15 | ```
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| 16 |
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| 17 | ### Parameters
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| 18 |
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| 19 | Parameter | Type | Description
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| 20 | --------- | ---- | -----------
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| 21 | `n` | number | Array | Matrix | A real or complex number
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| 22 |
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| 23 | ### Returns
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| 24 |
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| 25 | Type | Description
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| 26 | ---- | -----------
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| 27 | number | Array | Matrix | The gamma of `n`
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| 28 |
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| 29 |
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| 30 | ## Examples
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| 31 |
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| 32 | ```js
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| 33 | math.gamma(5) // returns 24
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| 34 | math.gamma(-0.5) // returns -3.5449077018110335
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| 35 | math.gamma(math.i) // returns -0.15494982830180973 - 0.49801566811835596i
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| 36 | ```
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| 37 |
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| 38 |
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| 39 | ## See also
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| 40 |
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| 41 | [combinations](combinations.md),
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| 42 | [factorial](factorial.md),
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| 43 | [permutations](permutations.md)
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