List questions from gamma-function

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Proof that $\prod\limits_{r=1}^{\infty}\Gamma(\tfrac{1}{3}r)=\frac{640}{3^6}\left(\frac{\pi}{\sqrt{3}}\right)^3$

Published on 01 Apr 2026 - 19:15

618

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Solving integral using Beta function

Published on 31 Jul 2017 - 4:39

300

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How to calculate $D^{1/2}\ln x$?

Published on 26 Mar 2026 - 18:29

1.1k

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Convergence of Gamma function defined on complex numbers

Published on 05 Aug 2017 - 19:34

7.4k

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Evaluating the Gamma function

Published on 08 Aug 2017 - 16:38

1.1k

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Can $\Gamma(1/5)$ be written in this form?

Published on 27 Mar 2026 - 10:09

127

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Qusetion about Gamma function

Published on 11 Aug 2017 - 4:16

114

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Calculating factorials with linear systems, an approach for finding generalizations?

Published on 12 Aug 2017 - 10:58

1k

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Prove $\int_0^1 \frac{4\cos^{-1}x}{\sqrt{2x-x^2}}\,dx=\frac{8}{9\sqrt{\pi}}\left(9\Gamma(3/4)^2{}_4F_3(\cdots)+\Gamma(5/4)^2{}_4F_3(\cdots)\right)$

Published on 16 Aug 2017 - 4:47

31

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Analytically integrate monomials with weight function exp(-r)

Published on 16 Aug 2017 - 13:04

90

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Can you generalise the Gamma function?

Published on 17 Aug 2017 - 13:34

782

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chi-square distribution >> gamma(n/2)

Published on 26 Mar 2026 - 17:35

78

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I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Published on 25 Mar 2026 - 17:41

41

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Gamma Function Confusion

Published on 01 Apr 2026 - 18:45

246

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Pros and cons of the conventional definition of the Gamma and Beta functions

Published on 27 Mar 2026 - 6:12

List Question

Proof that $\prod\limits_{r=1}^{\infty}\Gamma(\tfrac{1}{3}r)=\frac{640}{3^6}\left(\frac{\pi}{\sqrt{3}}\right)^3$

Solving integral using Beta function

How to calculate $D^{1/2}\ln x$?

Convergence of Gamma function defined on complex numbers

Evaluating the Gamma function

Can $\Gamma(1/5)$ be written in this form?

Qusetion about Gamma function

Calculating factorials with linear systems, an approach for finding generalizations?

Prove $\int_0^1 \frac{4\cos^{-1}x}{\sqrt{2x-x^2}}\,dx=\frac{8}{9\sqrt{\pi}}\left(9\Gamma(3/4)^2{}_4F_3(\cdots)+\Gamma(5/4)^2{}_4F_3(\cdots)\right)$

Analytically integrate monomials with weight function exp(-r)

Can you generalise the Gamma function?

chi-square distribution >> gamma(n/2)

I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Gamma Function Confusion

Pros and cons of the conventional definition of the Gamma and Beta functions

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