List questions from special-functions

Published on 26 Mar 2026 - 19:15

670

Views

A closed-form expression for $\int_0^\infty \frac{\ln (1+x^\alpha) \ln (1+x^{-\beta})}{x} \, \mathrm{d} x$

Published on 03 Jul 2018 - 13:56

329

Views

Integration of $\int \arcsin(a \sin{x}) dx $

Published on 03 Jul 2018 - 15:29

53

Views

Need a function to fit the following data

Published on 04 Jul 2018 - 5:32

447

Views

Is the function $1/x$ bijective on $[0, \infty]$?

Published on 25 Mar 2026 - 11:00

158

Views

Solve a special integral when its parameter is positive

Published on 05 Jul 2018 - 18:13

162

Views

Integral of $x^2\cos^n x$ over $[-\pi,\pi]$

Published on 07 Jul 2018 - 3:16

354

Views

Solution for the Laplace Transform $\mathscr{L}\left\{\frac{t^{\alpha-1}}{t-\mu}\right\}(\beta)$

Published on 25 Mar 2026 - 6:12

531

Views

Function to create a "stepped," diagonal line

Published on 08 Jul 2018 - 0:12

90

Views

Yet another bizarre identity involving hypergoemetric functions and gamma functions.

Published on 25 Mar 2026 - 13:05

268

Views

Finding the asymptotic behavior of a function series

Published on 25 Mar 2026 - 7:41

110

Views

Variation of a log-sine integral

Published on 14 Jul 2018 - 19:51

1k

Views

How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

Published on 25 Mar 2026 - 1:16

109

Views

Integral of $\int\frac{\mathrm dx}{\sqrt{a+bx^{2\left(1-\frac{1}{k}\right)}-x^2}}$

Published on 25 Mar 2026 - 1:18

76

Views

Multiple integral involving trigonometric functions over a hypercube.

Published on 25 Mar 2026 - 1:15

List Question

Guidance on reducing this Meijer-G function

A closed-form expression for $\int_0^\infty \frac{\ln (1+x^\alpha) \ln (1+x^{-\beta})}{x} \, \mathrm{d} x$

Integration of $\int \arcsin(a \sin{x}) dx $

Need a function to fit the following data

Is the function $1/x$ bijective on $[0, \infty]$?

Solve a special integral when its parameter is positive

Integral of $x^2\cos^n x$ over $[-\pi,\pi]$

Solution for the Laplace Transform $\mathscr{L}\left\{\frac{t^{\alpha-1}}{t-\mu}\right\}(\beta)$

Function to create a "stepped," diagonal line

Yet another bizarre identity involving hypergoemetric functions and gamma functions.

Finding the asymptotic behavior of a function series

Variation of a log-sine integral

How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

Integral of $\int\frac{\mathrm dx}{\sqrt{a+bx^{2\left(1-\frac{1}{k}\right)}-x^2}}$

Multiple integral involving trigonometric functions over a hypercube.

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