Question

An integration related to incomplete gamma function

score 265 · Answer 1 · 2018-10-08 10:31:35

265

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An integration related to incomplete gamma function

Published on 08 Oct 2018 - 10:31

score 169 · Answer 2 · 2018-10-09 03:25:27

169

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The right way to find $\frac{d}{ds}\Gamma (s)$

Published on 09 Oct 2018 - 3:25

score 112 · Answer 3 · 2018-10-11 16:00:47

112

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Evaluating integral (comes from a bigger problem in statistics)

Published on 11 Oct 2018 - 16:00

score 307 · Answer 4 · 2018-10-12 04:41:43

307

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Gamma function integral

Published on 12 Oct 2018 - 4:41

score 97 · Answer 5 · 2018-10-12 16:11:50

97

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Prove that $e^{\frac12i\,\text{gd}(\pi t)}\cos^\frac12(\text{gd}(\pi t))=\frac{1+i}{e^{\pi z}+i}e^{\frac{\pi z}2}$

Published on 12 Oct 2018 - 16:11

score 211 · Answer 6 · 2026-03-25 02:57:22

211

Views

Conditional probability with Gamma distribution.

Published on 25 Mar 2026 - 2:57

score 62 · Answer 7 · 2018-10-17 00:32:51

62

Views

Confusing closed form for $\int_{-\infty}^{0}e^{(x^{2n+1})}dx$ for $n\in\Bbb N$

Published on 17 Oct 2018 - 0:32

score 78 · Answer 8 · 2018-10-17 23:15:27

78

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Computation of a sum involving gamma functions

Published on 17 Oct 2018 - 23:15

score 191 · Answer 9 · 2018-10-19 08:17:06

191

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Evaluate $\int_{0}^{1} \log^2\left(\frac{\Gamma(x)}{\Gamma(1-x)}\right)\log^2\left(\frac{\Gamma(x)}{\Gamma(1+x)}\right) dx$

Published on 19 Oct 2018 - 8:17

score 292 · Answer 10 · 2026-03-25 19:06:46

292

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Is there an intuitive explanation for the occurrence of e and pi in Stirling's approximation? - $n!\approx \sqrt{2\pi n} (n/e)^n$

Published on 25 Mar 2026 - 19:06

score 62 · Answer 11 · 2026-03-25 01:20:23

62

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How to prove that $3^{x^2+x} (x+1)^{-x} \Gamma (x+1)\ge 1$ for $x>0$?

Published on 25 Mar 2026 - 1:20

score 150 · Answer 12 · 2026-03-25 21:01:30

150

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Integration problem related to Gamma function: $ \int_{0}^{\infty} u^{\alpha + b - 1} \exp\left(-ub + u^{\alpha}c\right)du $

Published on 25 Mar 2026 - 21:01

score 47 · Answer 13 · 2018-10-23 00:28:06

47

Views

How Fast Does Incomplete Gamma Converging to Gamma?

Published on 23 Oct 2018 - 0:28

score 169 · Answer 14 · 2026-03-25 10:25:03

169

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How do we prove that $\int_{0}^{\pi/2}\sin(t)^{2n+3}dt=\frac{4^n(2n+2)}{(2n+3)(2n+1){2n\choose n}}$?

Published on 25 Mar 2026 - 10:25

score 652 · Answer 15 · 2018-10-26 10:44:42

652

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Residues of the Gamma function

Published on 26 Oct 2018 - 10:44

List Question

An integration related to incomplete gamma function

The right way to find $\frac{d}{ds}\Gamma (s)$

Evaluating integral (comes from a bigger problem in statistics)

Gamma function integral

Prove that $e^{\frac12i\,\text{gd}(\pi t)}\cos^\frac12(\text{gd}(\pi t))=\frac{1+i}{e^{\pi z}+i}e^{\frac{\pi z}2}$

Conditional probability with Gamma distribution.

Confusing closed form for $\int_{-\infty}^{0}e^{(x^{2n+1})}dx$ for $n\in\Bbb N$

Computation of a sum involving gamma functions

Evaluate $\int_{0}^{1} \log^2\left(\frac{\Gamma(x)}{\Gamma(1-x)}\right)\log^2\left(\frac{\Gamma(x)}{\Gamma(1+x)}\right) dx$

Is there an intuitive explanation for the occurrence of e and pi in Stirling's approximation? - $n!\approx \sqrt{2\pi n} (n/e)^n$

How to prove that $3^{x^2+x} (x+1)^{-x} \Gamma (x+1)\ge 1$ for $x>0$?

Integration problem related to Gamma function: $ \int_{0}^{\infty} u^{\alpha + b - 1} \exp\left(-ub + u^{\alpha}c\right)du $

How Fast Does Incomplete Gamma Converging to Gamma?

How do we prove that $\int_{0}^{\pi/2}\sin(t)^{2n+3}dt=\frac{4^n(2n+2)}{(2n+3)(2n+1){2n\choose n}}$?

Residues of the Gamma function

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