Question

About the minimum of the Gamma function on $(0,1)$

score 87 · Answer 1 · 2026-04-07 21:48:28

87

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About the minimum of the Gamma function on $(0,1)$

Published on 07 Apr 2026 - 21:48

score 65 · Answer 2 · 2026-04-12 19:24:35

65

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Calculating an integral related to the Gamma function

Published on 12 Apr 2026 - 19:24

score 283 · Answer 3 · 2026-04-13 02:04:46

283

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The expectation of the norm of standard Gaussian random vectors

Published on 13 Apr 2026 - 2:04

score 318 · Answer 4 · 2021-12-13 17:15:21

318

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Show that the Gamma integral exists for $x > 0$.

Published on 13 Dec 2021 - 17:15

score 106 · Answer 5 · 2026-04-10 17:44:05

106

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Question about beta function and definite integral expression.

Published on 10 Apr 2026 - 17:44

score 61 · Answer 6 · 2026-04-12 18:13:53

61

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Continuation of an asymptotic series originally defined for $z>0$ to $z<0$

Published on 12 Apr 2026 - 18:13

score 106 · Answer 7 · 2021-12-21 23:50:38

106

Views

Do you have equipment with the computational accuracy to test my infinite series representation for Gamma(m), or (m-1)! ….?

Published on 21 Dec 2021 - 23:50

score 184 · Answer 8 · 2026-03-28 12:49:19

184

Views

Proving the identity between Beta and Gamma functions using semi-group property of the Gamma.

Published on 28 Mar 2026 - 12:49

score 426 · Answer 9 · 2026-04-11 01:50:48

426

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Connection between the Gamma function and gamma distribution

Published on 11 Apr 2026 - 1:50

score 91 · Answer 10 · 2021-12-30 13:20:32

91

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About the inequality $\left(\ln\left(\frac{4+x}{2x+2}\right)\right)^{2}\leq x!$

Published on 30 Dec 2021 - 13:20

score 64 · Answer 11 · 2026-04-09 14:42:01

64

Views

showing $\frac{1}{(A+B)^{a}}=\frac{1}{\Gamma(a)} \frac{1}{2\pi i} \int_{-i\infty}^{+i \infty} dz \frac{B^z}{A^{a+z}} \Gamma(-z) \Gamma(a+z)$

Published on 09 Apr 2026 - 14:42

score 137 · Answer 12 · 2022-01-02 11:20:37

137

Views

Prove $\int_0^\infty t^n e^{-t} dt = n!$ by differentiation

Published on 02 Jan 2022 - 11:20

score 163 · Answer 13 · 2026-04-12 08:39:47

163

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An upper bound for the function $x!$ using some well-know constant as $e$ or $\pi$

Published on 12 Apr 2026 - 8:39

score 129 · Answer 14 · 2022-01-03 17:11:40

129

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Find closed form of $f(x)= \frac{1}{x} \sum_{i=1}^{k} f(x+i)$

Published on 03 Jan 2022 - 17:11

score 68 · Answer 15 · 2026-03-30 03:39:13

68

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Evaluating $\lim_{n\to\infty}\frac{1}{n+1}(\omega+\nu)^{(n+1)}z^\nu{_2F_1}(1,\omega+\nu+1;n+2;1-z)$

Published on 30 Mar 2026 - 3:39

List Question

About the minimum of the Gamma function on $(0,1)$

Calculating an integral related to the Gamma function

The expectation of the norm of standard Gaussian random vectors

Show that the Gamma integral exists for $x > 0$.

Question about beta function and definite integral expression.

Continuation of an asymptotic series originally defined for $z>0$ to $z<0$

Do you have equipment with the computational accuracy to test my infinite series representation for Gamma(m), or (m-1)! ….?

Proving the identity between Beta and Gamma functions using semi-group property of the Gamma.

Connection between the Gamma function and gamma distribution

About the inequality $\left(\ln\left(\frac{4+x}{2x+2}\right)\right)^{2}\leq x!$

showing $\frac{1}{(A+B)^{a}}=\frac{1}{\Gamma(a)} \frac{1}{2\pi i} \int_{-i\infty}^{+i \infty} dz \frac{B^z}{A^{a+z}} \Gamma(-z) \Gamma(a+z)$

Prove $\int_0^\infty t^n e^{-t} dt = n!$ by differentiation

An upper bound for the function $x!$ using some well-know constant as $e$ or $\pi$

Find closed form of $f(x)= \frac{1}{x} \sum_{i=1}^{k} f(x+i)$

Evaluating $\lim_{n\to\infty}\frac{1}{n+1}(\omega+\nu)^{(n+1)}z^\nu{_2F_1}(1,\omega+\nu+1;n+2;1-z)$

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