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2016 Update

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Tina Müller 2016-12-05 22:15:40 +01:00
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Task/Gamma-function/00DESCRIPTION
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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 builtin or you know a library which has it, compare your implementation's results with the results of the builtin/library function.
;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:
:<math>\Gamma(x) = \displaystyle\int_0^\infty t^{x-1}e^{-t} dt</math>
:::::: <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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