List questions from gamma-function

Published on 28 Mar 2026 - 13:31

46

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connection between moment of normal r.v to gamma function

Published on 28 Mar 2026 - 10:56

82

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Is this correct $\Gamma(n+\frac{1}{2}) = \frac{\sqrt{\pi} }{2^n}\cdot\prod_{k=1}^{n} (2k - 1)$?

Published on 05 May 2023 - 13:16

22

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Gamma function grows large with Re(z)

Published on 09 May 2023 - 15:46

59

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Closed form for $\int_0^{\pi/2}(\cos^2{\theta})^{1/n}d\theta$

Published on 02 Apr 2026 - 9:15

82

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Euler's constant conundrum

Published on 26 Mar 2026 - 2:52

280

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Evaluate integral $\int_{-\infty}^\infty\Gamma(1+ix)\Gamma(1-ix)~dx$

Published on 11 May 2023 - 14:54

2.2k

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How to prove this recurrence relation for generalized "rounding up to $\pi$"?

Published on 28 Mar 2026 - 19:36

203

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What does it mean for the gamma function to take two variables?

Published on 13 May 2023 - 23:53

71

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Generalisation of a definite integral $I(a)$ with value independent of its parameter $a$.

Published on 27 Mar 2026 - 2:37

163

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Evaluating $\displaystyle\int_{0}^{\infty} \frac{{x}^{2/3}-{x}^{1/4}}{(1+{x}^{2})\ln(x)} dx$ using the gamma and beta functions

Published on 27 Mar 2026 - 2:35

114

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Residues of dual-pole Γ functions

Published on 17 May 2023 - 4:32

192

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Analytic continuation of a series $\Psi(s)$?

Published on 26 Mar 2026 - 11:04

75

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Prove that $\int_{0}^{\infty}\left(e^{-\frac{t^{6}}{3+\sqrt{3}}}\right)dt<\zeta(3)$

Published on 03 Apr 2026 - 0:04

71

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Prove that expected value of polar form standard gaussian length is $\sqrt{n}$

Published on 27 Mar 2026 - 2:35

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Algorithm trial error for two value $x,y$ roots .

connection between moment of normal r.v to gamma function

Is this correct $\Gamma(n+\frac{1}{2}) = \frac{\sqrt{\pi} }{2^n}\cdot\prod_{k=1}^{n} (2k - 1)$?

Gamma function grows large with Re(z)

Closed form for $\int_0^{\pi/2}(\cos^2{\theta})^{1/n}d\theta$

Euler's constant conundrum

Evaluate integral $\int_{-\infty}^\infty\Gamma(1+ix)\Gamma(1-ix)~dx$

How to prove this recurrence relation for generalized "rounding up to $\pi$"?

What does it mean for the gamma function to take two variables?

Generalisation of a definite integral $I(a)$ with value independent of its parameter $a$.

Evaluating $\displaystyle\int_{0}^{\infty} \frac{{x}^{2/3}-{x}^{1/4}}{(1+{x}^{2})\ln(x)} dx$ using the gamma and beta functions

Residues of dual-pole Γ functions

Analytic continuation of a series $\Psi(s)$?

Prove that $\int_{0}^{\infty}\left(e^{-\frac{t^{6}}{3+\sqrt{3}}}\right)dt<\zeta(3)$

Prove that expected value of polar form standard gaussian length is $\sqrt{n}$

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