List questions from mellin-transform

Published on 24 Mar 2026 - 21:41

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Mysterious Inverse Mellin transform using residue theorem

Published on 07 Mar 2026 - 9:32

288

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Exactness of harmonic sum using Mellin transformation

Published on 19 Nov 2015 - 11:10

104

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A modified identity to an integration

Published on 20 Mar 2026 - 21:53

135

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Indefinite integral - tricks for expressing solution concisely

Published on 04 Jan 2016 - 17:59

653

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Proof of sine integral

Published on 18 Jan 2016 - 17:12

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Integral calculation by using Mellin Transform

Published on 01 Mar 2026 - 4:00

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if $f(x)$ is periodic $\left|\int_1^\infty f(x) x^{-s} dx\right| \sim C\left|\int_1^\infty \sin(x) x^{-s} dx\right|$ when $\text{Im}(s) \to \infty$

Published on 19 Mar 2026 - 9:44

309

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How to prove Mellin transform on $L^2[0,1]$ is unitary?

Published on 05 Mar 2016 - 13:06

76

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What is wrong in this use of Cauchy residue theorem?

Published on 07 Apr 2016 - 9:51

96

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A Shifted Mellin Transform Or Half Moments from a Laplace Transform

Published on 01 May 2016 - 15:38

72

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Is it possible to find $g(\kappa)$ in this equation

Published on 01 Jun 2016 - 0:33

247

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Xi Function on Critical Strip - Mellin Transform

Published on 23 Jun 2016 - 17:15

268

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Explaining an Integral Involving the Divisor Function

Published on 28 Jun 2016 - 18:21

4.9k

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Mellin transform of $\sin x$ aka $\int^{\infty}_0 x^{s-1}\sin x dx $

Published on 05 May 2013 - 18:38

List Question

How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?

Mysterious Inverse Mellin transform using residue theorem

Exactness of harmonic sum using Mellin transformation

A modified identity to an integration

Indefinite integral - tricks for expressing solution concisely

Proof of sine integral

Integral calculation by using Mellin Transform

if $f(x)$ is periodic $\left|\int_1^\infty f(x) x^{-s} dx\right| \sim C\left|\int_1^\infty \sin(x) x^{-s} dx\right|$ when $\text{Im}(s) \to \infty$

How to prove Mellin transform on $L^2[0,1]$ is unitary?

What is wrong in this use of Cauchy residue theorem?

A Shifted Mellin Transform Or Half Moments from a Laplace Transform

Is it possible to find $g(\kappa)$ in this equation

Xi Function on Critical Strip - Mellin Transform

Explaining an Integral Involving the Divisor Function

Mellin transform of $\sin x$ aka $\int^{\infty}_0 x^{s-1}\sin x dx $

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