List questions from mellin-transform

Published on 25 Mar 2026 - 12:21

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Reference request: why integral transforms?

Published on 25 Mar 2026 - 14:18

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Dirac delta as a "mixture" of half-normal distributions

Published on 25 Mar 2026 - 12:16

42

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Is there a broader definition of the convolution operation?

Published on 25 Mar 2026 - 12:16

177

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Help with the Euler-type integral $\int_{0}^{m}\frac{1-e^{2\pi i x}}{x-j}\frac{x^{s-1}}{(1+x)^{z}}dx$

Published on 25 Mar 2026 - 12:21

97

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How can we prove that $\int_0^\infty e^{-ix}x^{s-1} \ \mathrm{d}x = i^{-s}\Gamma(s)?$

Published on 25 Mar 2026 - 12:19

367

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Mellin transform and Bessel function

Published on 25 Mar 2026 - 12:12

71

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Is this formula related to the Dirac delta function $\delta(s)$ nearly globally convergent?

Published on 25 Mar 2026 - 12:19

99

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Is there a transform based on Mellin convolution analogous to the Hilbert transform which is based on Fourier convolution?

Published on 25 Mar 2026 - 12:15

166

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Retrieving Euler characteristic from spectral zeta function

Published on 25 Mar 2026 - 12:13

149

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Calculating the integral $\int_{0}^\infty x^{s-1} \frac{\cos(x^2/ \pi)}{\sinh x}dx$ where s is a complex variable and $1<Re(s)$.

Published on 25 Mar 2026 - 12:21

63

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Finding the region of analyticity of a function involving integration

Published on 25 Mar 2026 - 12:17

267

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Mellin "Convolution" Theorem

Published on 05 Apr 2026 - 22:57

333

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Inverse Mellin transform of $\Gamma(s)$ $\zeta(s/2)$

Published on 16 Apr 2026 - 1:25

1k

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Examples of Weil's explicit formula

Published on 10 Apr 2026 - 16:17

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Question related to nested Fourier series representation of $h(s)=\frac{i s}{s^2-1}$

Reference request: why integral transforms?

Dirac delta as a "mixture" of half-normal distributions

Is there a broader definition of the convolution operation?

Help with the Euler-type integral $\int_{0}^{m}\frac{1-e^{2\pi i x}}{x-j}\frac{x^{s-1}}{(1+x)^{z}}dx$

How can we prove that $\int_0^\infty e^{-ix}x^{s-1} \ \mathrm{d}x = i^{-s}\Gamma(s)?$

Mellin transform and Bessel function

Is this formula related to the Dirac delta function $\delta(s)$ nearly globally convergent?

Is there a transform based on Mellin convolution analogous to the Hilbert transform which is based on Fourier convolution?

Retrieving Euler characteristic from spectral zeta function

Calculating the integral $\int_{0}^\infty x^{s-1} \frac{\cos(x^2/ \pi)}{\sinh x}dx$ where s is a complex variable and $1<Re(s)$.

Finding the region of analyticity of a function involving integration

Mellin "Convolution" Theorem

Inverse Mellin transform of $\Gamma(s)$ $\zeta(s/2)$

Examples of Weil's explicit formula

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