List questions from mellin-transform

Published on 11 Aug 2023 - 13:34

108

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Questions on $f(x)=\sum\limits_{n=1}^{\infty} \frac{(-1)^n\, (2 n+1)}{2 n!}\, \pi^n\, \frac{\zeta''(-2 n)}{\zeta'(-2 n)}\, x^{-2 n}$

Published on 15 Aug 2023 - 23:44

83

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Questions on $g(x)=\sum\limits_{n=1}^\infty \frac{(-1)^{n+1}\, (2 n+1)}{n!}\, \pi^n\, \frac{\zeta'(2 n+1)}{\zeta(2 n+1)} x^{-2 n}$

Published on 17 Aug 2023 - 17:33

79

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Bounds for vertical integrals and Mellin transforms

Published on 26 Aug 2023 - 11:56

31

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Analytic continuation of sums of Hypergeometric $_3F_2$ function pairs

Published on 02 Sep 2023 - 18:55

78

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Convergence of Inverse Mellin Transform of $\Gamma(z)\sin((\pi z)/2)$

Published on 13 Sep 2023 - 2:20

27

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The last step of proof of Converse mapping for Mellin Transform

Published on 15 Sep 2023 - 5:47

31

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Distributions of a product and of sums of products of iid, standard normal random variables.

Published on 25 Mar 2026 - 12:50

82

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How to find If Mellin transform has no poles?

Published on 28 Sep 2023 - 18:34

473

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Contour Integral of Gamma Functions from Knuth Paper

Published on 30 Sep 2023 - 2:24

78

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Inverse Mellin transform of $a^{-s} \zeta (s)$

Published on 01 Oct 2023 - 12:17

80

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Double pole problem in Mellin Transform

Published on 10 Oct 2023 - 8:30

41

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Mellin-Barnes integrals as "master integrals" in code for automated computation of Feynman graphs

Published on 30 Oct 2023 - 19:35

58

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Function that equals its own Mellin transform

Published on 07 Dec 2023 - 20:01

183

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Gil-Pelaez Formula consistently ends up being equal to 0

Published on 03 Jan 2024 - 14:44

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What are the conditions for Ramanujan's Master Theorem to hold?

Questions on $f(x)=\sum\limits_{n=1}^{\infty} \frac{(-1)^n\, (2 n+1)}{2 n!}\, \pi^n\, \frac{\zeta''(-2 n)}{\zeta'(-2 n)}\, x^{-2 n}$

Questions on $g(x)=\sum\limits_{n=1}^\infty \frac{(-1)^{n+1}\, (2 n+1)}{n!}\, \pi^n\, \frac{\zeta'(2 n+1)}{\zeta(2 n+1)} x^{-2 n}$

Bounds for vertical integrals and Mellin transforms

Analytic continuation of sums of Hypergeometric $_3F_2$ function pairs

Convergence of Inverse Mellin Transform of $\Gamma(z)\sin((\pi z)/2)$

The last step of proof of Converse mapping for Mellin Transform

Distributions of a product and of sums of products of iid, standard normal random variables.

How to find If Mellin transform has no poles?

Contour Integral of Gamma Functions from Knuth Paper

Inverse Mellin transform of $a^{-s} \zeta (s)$

Double pole problem in Mellin Transform

Mellin-Barnes integrals as "master integrals" in code for automated computation of Feynman graphs

Function that equals its own Mellin transform

Gil-Pelaez Formula consistently ends up being equal to 0

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