List questions from special-functions

Published on 30 May 2019 - 20:40

62

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Relation between two Fox-H function with positive and negative argument

Published on 01 Jun 2019 - 0:23

456

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Sum involving incomplete beta functions

Published on 25 Mar 2026 - 18:04

320

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Integral $\int_0^1 \sqrt{\frac{x^2-2}{x^2-1}}\, dx=\frac{\pi\sqrt{2\pi}}{\Gamma^2(1/4)}+\frac{\Gamma^2(1/4)}{4\sqrt{2\pi}}$

Published on 25 Mar 2026 - 6:06

1.4k

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Asymptotic expansion of incomplete beta function

Published on 25 Mar 2026 - 18:04

1.3k

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How to integrate $\sqrt{\arctan(x)}$

Published on 28 Mar 2026 - 14:18

135

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Integral $\int_0^\infty\frac{\exp(i\alpha\cos u)-J_0(\alpha)}{1+\beta u}\mathrm{d}u$

Published on 09 Jun 2019 - 12:57

443

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Partial derivatives of m=l spherical harmonics

Published on 05 Jun 2019 - 15:27

290

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Is there an identity between the Clausen function $\rm{Cl}_8\left(\frac\pi3\right)$ and $\sum_{n=1}^\infty \frac{1}{n^9\,\binom {2n}n}$?

Published on 25 Mar 2026 - 1:20

295

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Double integrals involving incomplete beta function

Published on 27 Mar 2026 - 1:42

358

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Orthonormality of Hermite function

Published on 27 Mar 2026 - 22:03

259

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Integrals involving powers and beta (or hypergeometric) function

Published on 27 Mar 2026 - 5:34

128

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"Incomplete" Tricomi Hypergeometric Function

Published on 19 Jun 2019 - 7:41

314

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Approximation for the Marcum Q-function

Published on 25 Mar 2026 - 14:19

41

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Ratio of complex valued incomplete gamma function

Published on 27 Mar 2026 - 16:46

List Question

Closed form of $\int_0^1 (u-1/2)^n(1-x\, u)^a(1-y\,u)^b\,du$

Relation between two Fox-H function with positive and negative argument

Sum involving incomplete beta functions

Integral $\int_0^1 \sqrt{\frac{x^2-2}{x^2-1}}\, dx=\frac{\pi\sqrt{2\pi}}{\Gamma^2(1/4)}+\frac{\Gamma^2(1/4)}{4\sqrt{2\pi}}$

Asymptotic expansion of incomplete beta function

How to integrate $\sqrt{\arctan(x)}$

Integral $\int_0^\infty\frac{\exp(i\alpha\cos u)-J_0(\alpha)}{1+\beta u}\mathrm{d}u$

Partial derivatives of m=l spherical harmonics

Is there an identity between the Clausen function $\rm{Cl}_8\left(\frac\pi3\right)$ and $\sum_{n=1}^\infty \frac{1}{n^9\,\binom {2n}n}$?

Double integrals involving incomplete beta function

Orthonormality of Hermite function

Integrals involving powers and beta (or hypergeometric) function

"Incomplete" Tricomi Hypergeometric Function

Approximation for the Marcum Q-function

Ratio of complex valued incomplete gamma function

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