List questions from special-functions

Published on 07 Oct 2018 - 22:58

266

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An integration related to incomplete gamma function

Published on 26 Mar 2026 - 7:57

56

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Building solutions to forth order ODEs out of products of solutions to second order ODEs.

Published on 10 Oct 2018 - 16:19

110

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Asymptotic behavior of $_3F_2$ at unit argument for large values of parameters

Published on 11 Oct 2018 - 12:41

430

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Exact value of Elliptic Integrals.

Published on 25 Mar 2026 - 2:59

267

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Is it possible to simplify $\psi^{(2)}(\frac18)$ or $\psi^{(2)}(\frac pq)$?

Published on 23 Mar 2026 - 0:24

77

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Is there any special function corresponding to $\int_{-1}^1 \frac{1-e^{b(x-a)}}{(x-a)^2}\sqrt{1-x^2}dx$?

Published on 26 Mar 2026 - 7:38

194

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Evaluating $\int_0^1\frac{\ln(x)}{1-x/2}\int_0^{x/2}\frac{\ln(1-t)}{t}\,dt\,dx$

Published on 25 Mar 2026 - 1:20

346

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second order differential equation of special function

Published on 27 Mar 2026 - 0:09

113

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A Gauss's third order modular equation.

Published on 27 Mar 2026 - 0:02

444

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Is there a closed form expression for the first zero of the first Bessel function?

Published on 25 Mar 2026 - 21:01

87

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Mapping linear second order ODEs into each other.

Published on 17 Oct 2018 - 15:29

1k

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Calculating Hermite Expansion Coefficents of $|x|$

Published on 25 Mar 2026 - 0:07

143

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Evaluating $\int_0^\infty (\operatorname{E}_n(x)e^x-\frac1{1+x})dx$

Published on 19 Oct 2018 - 7:36

53

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Does this function have a specific name?

Published on 25 Mar 2026 - 16:55

List Question

Evaluation of $\int_0^1\frac{\ln(x)\ln(x+1)\ln(x^2+x+1)}{(1-x)(1+x^2)}dx$

An integration related to incomplete gamma function

Building solutions to forth order ODEs out of products of solutions to second order ODEs.

Asymptotic behavior of $_3F_2$ at unit argument for large values of parameters

Exact value of Elliptic Integrals.

Is it possible to simplify $\psi^{(2)}(\frac18)$ or $\psi^{(2)}(\frac pq)$?

Is there any special function corresponding to $\int_{-1}^1 \frac{1-e^{b(x-a)}}{(x-a)^2}\sqrt{1-x^2}dx$?

Evaluating $\int_0^1\frac{\ln(x)}{1-x/2}\int_0^{x/2}\frac{\ln(1-t)}{t}\,dt\,dx$

second order differential equation of special function

A Gauss's third order modular equation.

Is there a closed form expression for the first zero of the first Bessel function?

Mapping linear second order ODEs into each other.

Calculating Hermite Expansion Coefficents of $|x|$

Evaluating $\int_0^\infty (\operatorname{E}_n(x)e^x-\frac1{1+x})dx$

Does this function have a specific name?

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