List questions from gamma-function

Published on 08 Apr 2017 - 12:22

112

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Integral of $(\ln(x)/x)^n$

Published on 31 Jan 2023 - 13:47

361

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Derivation of an integral containing the complete elliptic integral of the first kind

Published on 23 Feb 2026 - 15:09

166

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Meaning of $\zeta(1-s)$ in Riemann Zeta function?

Published on 26 Mar 2026 - 7:59

157

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$\int_{0}^{1}\ln^2\Gamma(x)\ln\Gamma(1-x)\ dx$

Published on 05 Feb 2023 - 22:03

106

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Let $ f(x) = x^{ \alpha-1}(1+x)^{- \alpha-\beta}\frac{Γ(α+β)}{Γ(α)Γ(β)},$ where $Γ(x) = (x − 1)Γ(x-1)$ and $α,β > 1$.

Published on 27 Mar 2026 - 1:00

53

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exponential integration in terms of incomplete gamma function

Published on 07 Feb 2023 - 10:57

86

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Upper bound for gamma function

Published on 01 Apr 2026 - 15:34

133

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How to prove that $\sum_{n=0}^{\infty}(-1)^{n}\frac{\Gamma(n+\frac{3}{4})}{\Gamma(n+\frac{5}{4})}=\frac{\sqrt{\pi}}{2}$

Published on 11 Feb 2023 - 9:14

152

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Double series with Beta reciprocals $\sum_{j=0}^\infty \sum_{k=0}^\infty \frac{x^j}{j!}\frac{y^k}{k!} \frac{1}{\boldsymbol{B}(j+1,k+1)} = ? $

Published on 27 Mar 2026 - 15:13

74

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Can the upper incomplete gamma function be normalized to a probability distribution?

Published on 12 Feb 2023 - 12:09

59

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Growth rate of Mellin transform

Published on 25 Mar 2026 - 15:47

166

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To evaluate integral using Beta function

Published on 27 Mar 2026 - 0:54

68

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Reference request for a formula

Published on 27 Mar 2026 - 1:16

91

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Strategy for integrating product of powers and trigonometric functions

Published on 29 Mar 2026 - 18:53

List Question

Calculate $\int\limits_0^3 x^{-3/5}(3-x)^{-3/5} dx$

Integral of $(\ln(x)/x)^n$

Derivation of an integral containing the complete elliptic integral of the first kind

Meaning of $\zeta(1-s)$ in Riemann Zeta function?

$\int_{0}^{1}\ln^2\Gamma(x)\ln\Gamma(1-x)\ dx$

Let $ f(x) = x^{ \alpha-1}(1+x)^{- \alpha-\beta}\frac{Γ(α+β)}{Γ(α)Γ(β)},$ where $Γ(x) = (x − 1)Γ(x-1)$ and $α,β > 1$.

exponential integration in terms of incomplete gamma function

Upper bound for gamma function

How to prove that $\sum_{n=0}^{\infty}(-1)^{n}\frac{\Gamma(n+\frac{3}{4})}{\Gamma(n+\frac{5}{4})}=\frac{\sqrt{\pi}}{2}$

Double series with Beta reciprocals $\sum_{j=0}^\infty \sum_{k=0}^\infty \frac{x^j}{j!}\frac{y^k}{k!} \frac{1}{\boldsymbol{B}(j+1,k+1)} = ? $

Can the upper incomplete gamma function be normalized to a probability distribution?

Growth rate of Mellin transform

To evaluate integral using Beta function

Reference request for a formula

Strategy for integrating product of powers and trigonometric functions

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