Question

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

score 81 · Answer 1 · 2026-04-03 13:30:25

81

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Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Published on 03 Apr 2026 - 13:30

score 37 · Answer 2 · 2023-09-06 01:33:22

37

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Defining $\Gamma(x)$ where $x<0$

Published on 06 Sep 2023 - 1:33

score 53 · Answer 3 · 2026-03-30 09:44:56

53

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Specific identity involving gamma function

Published on 30 Mar 2026 - 9:44

score 148 · Answer 4 · 2026-03-27 06:12:38

148

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How do I prove the relation: $\intop_{t=0}^{+\infty}\frac{e^{-t}}{\sqrt{t}}dt=2\sqrt{2}\intop_{x=0}^{+\infty}{\sin(x^2)}dx$

Published on 27 Mar 2026 - 6:12

score 174 · Answer 5 · 2026-03-27 17:51:34

174

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Integral of exponential function over an $n-1$ - simplex

Published on 27 Mar 2026 - 17:51

score 48 · Answer 6 · 2023-09-08 19:09:13

48

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Asymptotic expression of the maximum of the relative error of the Fourier expansion of the multifactorial

Published on 08 Sep 2023 - 19:09

score 63 · Answer 7 · 2026-03-26 09:38:40

63

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How to prove this summation equation?

Published on 26 Mar 2026 - 9:38

score 46 · Answer 8 · 2023-09-15 07:58:28

46

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Prove the following Gauss formula

Published on 15 Sep 2023 - 7:58

score 65 · Answer 9 · 2023-09-16 12:13:57

65

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$\displaystyle\sum_{n=1}^{\infty}{\binom{v}{n}\dfrac{\Gamma\left({\large\frac{n}{2}}\right)}{\Gamma\left({\large\frac{n+1}{2}}\right)}}$

Published on 16 Sep 2023 - 12:13

score 49 · Answer 10 · 2023-09-16 22:36:18

49

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Where are the zeros of $\Gamma[z,1]$?

Published on 16 Sep 2023 - 22:36

score 366 · Answer 11 · 2023-09-18 21:44:41

366

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$\infty$-multifactorial: $\displaystyle z!_{(\infty)}:=\lim_{\alpha\to\infty}z!_{(\alpha)}$

Published on 18 Sep 2023 - 21:44

score 86 · Answer 12 · 2026-03-28 05:23:23

86

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The absurdity of $\Gamma(x)$'s minimum, and can it be applied to the factorial?

Published on 28 Mar 2026 - 5:23

score 229 · Answer 13 · 2023-09-21 04:26:44

229

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Can we evaluate the integral $ I(a)=\int_0^{\infty} \frac{\sin x}{x^a} e^{-x} d x, $ without Gamma functions?

Published on 21 Sep 2023 - 4:26

score 23 · Answer 14 · 2023-09-21 09:07:44

23

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Solve an equation consisting of several incomplete Gamma functions.

Published on 21 Sep 2023 - 9:07

score 92 · Answer 15 · 2023-09-21 11:40:43

92

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Proof for $\Gamma\Big(x+\frac{1}{2}\Big)^2 < x\Gamma(x)^2$

Published on 21 Sep 2023 - 11:40

List Question

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Defining $\Gamma(x)$ where $x<0$

Specific identity involving gamma function

How do I prove the relation: $\intop_{t=0}^{+\infty}\frac{e^{-t}}{\sqrt{t}}dt=2\sqrt{2}\intop_{x=0}^{+\infty}{\sin(x^2)}dx$

Integral of exponential function over an $n-1$ - simplex

Asymptotic expression of the maximum of the relative error of the Fourier expansion of the multifactorial

How to prove this summation equation?

Prove the following Gauss formula

$\displaystyle\sum_{n=1}^{\infty}{\binom{v}{n}\dfrac{\Gamma\left({\large\frac{n}{2}}\right)}{\Gamma\left({\large\frac{n+1}{2}}\right)}}$

Where are the zeros of $\Gamma[z,1]$?

$\infty$-multifactorial: $\displaystyle z!_{(\infty)}:=\lim_{\alpha\to\infty}z!_{(\alpha)}$

The absurdity of $\Gamma(x)$'s minimum, and can it be applied to the factorial?

Can we evaluate the integral $ I(a)=\int_0^{\infty} \frac{\sin x}{x^a} e^{-x} d x, $ without Gamma functions?

Solve an equation consisting of several incomplete Gamma functions.

Proof for $\Gamma\Big(x+\frac{1}{2}\Big)^2 < x\Gamma(x)^2$

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