RosettaCodeData/Task/Gamma-function/00DESCRIPTION

;Task:
Implement one algorithm (or more) to compute the [[wp:Gamma function|Gamma]] (<math>\Gamma</math>) function (in the real field only).

If your language has the function as built-in or you know a library which has it, compare your implementation's results with the results of the built-in/library function.

The Gamma function can be defined as:

:::::: <big><big> <math>\Gamma(x) = \displaystyle\int_0^\infty t^{x-1}e^{-t} dt</math></big></big>

This suggests a straightforward (but inefficient) way of computing the <math>\Gamma</math> through numerical integration.


Better suggested methods:
* [[wp:Lanczos approximation|Lanczos approximation]]
* [[wp:Stirling's approximation|Stirling's approximation]]
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