Question

When is this (gamma integral like) integral finite?

score 32 · Answer 1 · 2024-03-31 23:48:13

32

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When is this (gamma integral like) integral finite?

Published on 31 Mar 2024 - 23:48

score 100 · Answer 2 · 2026-04-04 02:20:46

100

Views

Is it possible to express $\Gamma\!\left(\tfrac{1}{50}\right)$ through values of the $\Gamma$-function at rational points with smaller denominators?

Published on 04 Apr 2026 - 2:20

score 311 · Answer 3 · 2015-01-07 02:55:06

311

Views

Proving $\Gamma(x)$ is holomorphic

Published on 07 Jan 2015 - 2:55

score 85 · Answer 4 · 2015-01-09 10:20:47

85

Views

Some problem with Euler's Reflection Formula?

Published on 09 Jan 2015 - 10:20

score 1.1k · Answer 5 · 2026-04-01 08:53:46

1.1k

Views

Hypergeometric 2F1 with negative c

Published on 01 Apr 2026 - 8:53

score 219 · Answer 6 · 2015-01-21 04:02:27

219

Views

How do I show that as $z \to \infty$ that $\int_0^\infty \frac{t - \lfloor t \rfloor - 1/2}{z + t} dt = O(z^{-1} )$??

Published on 21 Jan 2015 - 4:02

score 76 · Answer 7 · 2015-01-22 11:25:29

76

Views

How can I prove this integration result?

Published on 22 Jan 2015 - 11:25

score 165 · Answer 8 · 2026-03-29 15:16:02

165

Views

Moving the integral $Q(x) = -\frac{e^{-1/2x}}{4i}\int_{1/2-i\infty}^{1/2+i\infty} \zeta(s)\Gamma(\frac{s}{2})\pi^{-s/2}e^{xs} ds$ past Re(s) = 1.

Published on 29 Mar 2026 - 15:16

score 253 · Answer 9 · 2015-01-25 17:30:37

253

Views

Trying to understand a step in Ramanujan's Proof of Bertrand's Postulate regarding the gamma function

Published on 25 Jan 2015 - 17:30

score 141 · Answer 10 · 2026-03-26 07:57:45

141

Views

Gamma distribution - closed towards multiplication

Published on 26 Mar 2026 - 7:57

score 2.7k · Answer 11 · 2015-01-28 01:21:00

2.7k

Views

The Duplication Formula for the Gamma Function by logarithmic derivatives.

Published on 28 Jan 2015 - 1:21

score 221 · Answer 12 · 2015-01-29 08:00:35

221

Views

Evaluating $\int_0^\infty dn \, \frac{x^n}{(3n+1)(3n+2)}$

Published on 29 Jan 2015 - 8:00

score 513 · Answer 13 · 2026-03-30 13:34:42

513

Views

Divergent products.

Published on 30 Mar 2026 - 13:34

score 3.6k · Answer 14 · 2026-03-27 07:50:47

3.6k

Views

Calculate integral $ \int_0^1 \frac{x}{(2-x)\sqrt[3]{x^2(1-x)}} dx$

Published on 27 Mar 2026 - 7:50

score 360 · Answer 15 · 2015-02-09 01:48:50

360

Views

Simplification of a combination of 6 values of the gamma function

Published on 09 Feb 2015 - 1:48

List Question

When is this (gamma integral like) integral finite?

Is it possible to express $\Gamma\!\left(\tfrac{1}{50}\right)$ through values of the $\Gamma$-function at rational points with smaller denominators?

Proving $\Gamma(x)$ is holomorphic

Some problem with Euler's Reflection Formula?

Hypergeometric 2F1 with negative c

How do I show that as $z \to \infty$ that $\int_0^\infty \frac{t - \lfloor t \rfloor - 1/2}{z + t} dt = O(z^{-1} )$??

How can I prove this integration result?

Moving the integral $Q(x) = -\frac{e^{-1/2x}}{4i}\int_{1/2-i\infty}^{1/2+i\infty} \zeta(s)\Gamma(\frac{s}{2})\pi^{-s/2}e^{xs} ds$ past Re(s) = 1.

Trying to understand a step in Ramanujan's Proof of Bertrand's Postulate regarding the gamma function

Gamma distribution - closed towards multiplication

The Duplication Formula for the Gamma Function by logarithmic derivatives.

Evaluating $\int_0^\infty dn \, \frac{x^n}{(3n+1)(3n+2)}$

Divergent products.

Calculate integral $ \int_0^1 \frac{x}{(2-x)\sqrt[3]{x^2(1-x)}} dx$

Simplification of a combination of 6 values of the gamma function

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