List questions from gamma-function

Published on 17 Oct 2013 - 8:48

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Gamma function in the sight of Lebesgue and Riemann integration.

Published on 18 Oct 2013 - 5:52

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Expressing integral as gamma function

Published on 19 Oct 2013 - 18:38

203

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Proof of my conjecture on closed form of $\int _{0}^{\infty}\frac{x^{a-1}e^{-mbx}}{1-e^{-bx}}$

Published on 06 Apr 2026 - 16:55

306

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Inequality $\Gamma(\alpha+x)\Gamma(\beta+y)\leq C(\alpha; \beta)\Gamma(x+y-1)$

Published on 26 Mar 2026 - 22:15

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Proof that the gamma function is an extension of the factorial function

Published on 06 Apr 2026 - 19:51

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Looking for a limit

Published on 25 Mar 2026 - 14:28

200

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Interesting integral involving $\Gamma (z)$.

Published on 26 Oct 2013 - 22:28

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Derivation of Wallis's Formula

Published on 01 Apr 2026 - 10:03

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How to integrate $\int_{0}^{a}x^{n-1}e^{-x}dx$

Published on 30 Oct 2013 - 7:41

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Let $a_n = \int\limits_{0}^{n} e^{-x^4} dx$. Does $\{ a_n \}_{n \rightarrow \infty}$ converge?

Published on 31 Oct 2013 - 7:33

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Proof of $\Gamma(z) e^{i \pi z/2} = \int_0^\infty t^{z-1} e^{it}\, dt$

Published on 03 Nov 2013 - 4:24

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Some more parameter integrals

Published on 04 Nov 2013 - 12:36

622

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Integral formula for Hypergeometric function

Published on 06 Nov 2013 - 16:25

3.1k

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The most complete reference for identities and special values for polylogarithm and polygamma functions

Published on 25 Mar 2026 - 17:37

List Question

A proof of a representation for $\sum_{n=1}^{N} \frac{1}{ax+b}$

Gamma function in the sight of Lebesgue and Riemann integration.

Expressing integral as gamma function

Proof of my conjecture on closed form of $\int _{0}^{\infty}\frac{x^{a-1}e^{-mbx}}{1-e^{-bx}}$

Inequality $\Gamma(\alpha+x)\Gamma(\beta+y)\leq C(\alpha; \beta)\Gamma(x+y-1)$

Proof that the gamma function is an extension of the factorial function

Looking for a limit

Interesting integral involving $\Gamma (z)$.

Derivation of Wallis's Formula

How to integrate $\int_{0}^{a}x^{n-1}e^{-x}dx$

Let $a_n = \int\limits_{0}^{n} e^{-x^4} dx$. Does $\{ a_n \}_{n \rightarrow \infty}$ converge?

Proof of $\Gamma(z) e^{i \pi z/2} = \int_0^\infty t^{z-1} e^{it}\, dt$

Some more parameter integrals

Integral formula for Hypergeometric function

The most complete reference for identities and special values for polylogarithm and polygamma functions

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