(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Self-given problem; I want to prove that Gamma (1/4) is approxiamately equal to 3.625, but can't seem to integrate it properly...

Gamma(z) = (integral between infinity and 0) (t^z-1)(e^-t) dt

(http://www.wikipedia.org/wiki/Gamma_function)

2. Relevant equations

Gamma(n+1) = n Gamma (n)

3. The attempt at a solution

Tried an integration by substitution and an integration by parts, and no luck!

Thanks for your help!

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# How to prove the value of Gamma(1/4)?

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