List questions from gamma-function

Published on 25 Mar 2026 - 12:54

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How naturally can functions defined by parametric integrals be interpolated from $\mathbb N$ to $\mathbb R^+$?

Published on 05 Oct 2014 - 19:27

1.3k

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Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$

Published on 05 Oct 2014 - 19:47

569

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Functional equation involving gamma function

Published on 06 Oct 2014 - 16:38

222

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Trying to find sum of a complex infinite series with Gamma function and factorials

Published on 08 Oct 2014 - 11:19

252

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A Sine integral: problem I

Published on 28 Mar 2026 - 1:05

66

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Prove a simplification of $B_{\frac{1}{2}}(n,n+1)$ for all complex n

Published on 13 Oct 2014 - 9:14

123

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Log integrals III

Published on 14 Oct 2014 - 23:42

76

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Let$\ x$ be a real number between$\ 0$ and$\ 1$. Is it possible to write$\ e^{x}$ as a function of$\ \Gamma \left(x+1\right)$?

Published on 15 Oct 2014 - 8:24

393

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ratio distribution of gamma with different parameter

Published on 28 Mar 2026 - 15:26

278

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Non-recursive closed-form of the coefficients of Taylor series of the reciprocal gamma function

Published on 18 Oct 2014 - 0:47

260

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Do the incomplete gamma functions have reflection formulas?

Published on 18 Oct 2014 - 14:39

1.2k

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Proving $z\,\Gamma(z) = \Gamma(z+1)$ using the product formula

Published on 27 Mar 2026 - 22:04

71

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asymptotic series for "stable distribution"

Published on 19 Oct 2014 - 17:56

589

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Closed-form of $\int_0^1 \left(\ln \Gamma(x)\right)^3\,dx$

Published on 20 Oct 2014 - 1:20

List Question

Finding $\sum_{k=1}^{\infty} \left[\frac{1}{2k}-\log \left(1+\frac{1}{2k}\right)\right]$

How naturally can functions defined by parametric integrals be interpolated from $\mathbb N$ to $\mathbb R^+$?

Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$

Functional equation involving gamma function

Trying to find sum of a complex infinite series with Gamma function and factorials

A Sine integral: problem I

Prove a simplification of $B_{\frac{1}{2}}(n,n+1)$ for all complex n

Log integrals III

Let$\ x$ be a real number between$\ 0$ and$\ 1$. Is it possible to write$\ e^{x}$ as a function of$\ \Gamma \left(x+1\right)$?

ratio distribution of gamma with different parameter

Non-recursive closed-form of the coefficients of Taylor series of the reciprocal gamma function

Do the incomplete gamma functions have reflection formulas?

Proving $z\,\Gamma(z) = \Gamma(z+1)$ using the product formula

asymptotic series for "stable distribution"

Closed-form of $\int_0^1 \left(\ln \Gamma(x)\right)^3\,dx$

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