List questions from gamma-function

Published on 19 Sep 2013 - 20:13

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Evaluating the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{3} \binom{2n}{n}} $

Published on 20 Sep 2013 - 21:20

320

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Gamma Type Integral

Published on 21 Sep 2013 - 11:28

1k

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How prove this integral $ \int\limits_0^1 \int\limits_0^1 \ln\Gamma(x+y^3)\,dx\,dy =-\frac 7 {16}+\frac{1}{2}\ln 2\pi$

Published on 24 Sep 2013 - 3:36

153

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Show that $M_{x}(t) = \left(\frac{1}{1-{\beta} t}\right)^{\alpha}$

Published on 25 Sep 2013 - 4:41

526

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Incomplete gamma function

Published on 27 Sep 2013 - 23:22

271

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How to prove series expansion for incomplete gamma function?

Published on 29 Sep 2013 - 5:09

769

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Showing that the Barnes G-function satisfies the functional equation $G(z+1) = \Gamma(z) G(z) $

Published on 01 Apr 2026 - 10:00

964

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expectation of Gamma distribution help

Published on 31 Mar 2026 - 21:48

1.9k

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Finding expected perimeter and area of rectangle using random distribution

Published on 02 Oct 2013 - 4:52

20k

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Relation between Beta and Gamma functions

Published on 27 Mar 2026 - 19:51

323

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What to do when $x$ in $\Gamma(x)$ is a negative integer?

Published on 08 Oct 2013 - 15:33

1.5k

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Show uniform convergence (Gamma function)

Published on 09 Oct 2013 - 22:57

616

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What is the Gauss sum equivalent of $\Gamma(s+1) = s\Gamma(s)$?

Published on 25 Mar 2026 - 19:10

5.4k

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Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

Published on 30 Mar 2026 - 3:22

List Question

Limiting behavior of an integral involving incomplete Gamma function

Evaluating the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{3} \binom{2n}{n}} $

Gamma Type Integral

How prove this integral $ \int\limits_0^1 \int\limits_0^1 \ln\Gamma(x+y^3)\,dx\,dy =-\frac 7 {16}+\frac{1}{2}\ln 2\pi$

Show that $M_{x}(t) = \left(\frac{1}{1-{\beta} t}\right)^{\alpha}$

Incomplete gamma function

How to prove series expansion for incomplete gamma function?

Showing that the Barnes G-function satisfies the functional equation $G(z+1) = \Gamma(z) G(z) $

expectation of Gamma distribution help

Finding expected perimeter and area of rectangle using random distribution

Relation between Beta and Gamma functions

What to do when $x$ in $\Gamma(x)$ is a negative integer?

Show uniform convergence (Gamma function)

What is the Gauss sum equivalent of $\Gamma(s+1) = s\Gamma(s)$?

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

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