List questions from special-functions

Published on 04 Sep 2014 - 18:35

678

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Second derivative of Hypergeometric function

Published on 06 Sep 2014 - 2:58

48

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Solution of $\Pi(y(x)+1)+\sin(x)=y(x)+y'(x)$

Published on 06 Sep 2014 - 22:05

172

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Is anything known about $2\pi$ integer multiple arguments of the cosine integral?

Published on 07 Sep 2014 - 8:55

215

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Value of $\psi\left(\frac{1}{2}\right)$

Published on 25 Mar 2026 - 6:03

88

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Solution of $\frac{dx}{dt}=-\frac{(\sigma+1)x}{\sigma x+1}$ in terms of Lambert $w$ function

Published on 07 Sep 2014 - 18:45

897

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Why are non-polynomial Legendre functions and Legendre polynomials not orthogonal?

Published on 25 Mar 2026 - 9:48

247

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function undefined at odd inputs

Published on 10 Sep 2014 - 1:28

77

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Terminology for $1/(e^x+1)$?

Published on 10 Sep 2014 - 5:17

94

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An integral with a decaying exponential with rational exponent

Published on 10 Sep 2014 - 15:38

1.1k

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Series expansion of incomplete gamma function ratio

Published on 28 Mar 2026 - 14:37

360

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Closed form for this incomplete gamma series?

Published on 28 Mar 2026 - 14:37

733

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Known exact values of the $\operatorname{Li}_3$ function

Published on 26 Mar 2026 - 1:08

403

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Why do so many identities for the Logarithmic Integral begin with the terms $\log \log n + \gamma +...$?

Published on 16 Sep 2014 - 2:31

388

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Closed form for $\int z^n\ln{(z)}\ln{(1-z)}\,\mathrm{d}z$?

Published on 26 Mar 2026 - 4:34

List Question

spherical Bessel function of the first kind

Second derivative of Hypergeometric function

Solution of $\Pi(y(x)+1)+\sin(x)=y(x)+y'(x)$

Is anything known about $2\pi$ integer multiple arguments of the cosine integral?

Value of $\psi\left(\frac{1}{2}\right)$

Solution of $\frac{dx}{dt}=-\frac{(\sigma+1)x}{\sigma x+1}$ in terms of Lambert $w$ function

Why are non-polynomial Legendre functions and Legendre polynomials not orthogonal?

function undefined at odd inputs

Terminology for $1/(e^x+1)$?

An integral with a decaying exponential with rational exponent

Series expansion of incomplete gamma function ratio

Closed form for this incomplete gamma series?

Known exact values of the $\operatorname{Li}_3$ function

Why do so many identities for the Logarithmic Integral begin with the terms $\log \log n + \gamma +...$?

Closed form for $\int z^n\ln{(z)}\ln{(1-z)}\,\mathrm{d}z$?

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