List questions from special-functions

Published on 26 Mar 2026 - 4:48

1.3k

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How to evaluate the integral $\int_0^{2\pi} \theta\exp(x\cos(\theta) + y\sin(\theta))) d\theta$

Published on 21 Jan 2017 - 4:09

123

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Finishing off integral of a Bessel function

Published on 30 Mar 2026 - 0:18

126

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How to check that function is in $W^{1,p}$ and not in $L^q$?

Published on 22 Jan 2017 - 11:33

150

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Linear transform from $_2F_1(a,b;c;\frac1x)$ to $_2F_1(\alpha,\beta;\gamma;\frac{1-x}{2})$?

Published on 25 Mar 2026 - 20:52

90

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Simplifying an expression involving the Lambert W function

Published on 26 Mar 2026 - 12:51

1.1k

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Is $y(t) = x(2t)$ time invariant?

Published on 25 Mar 2026 - 17:37

882

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What counts as a "known" function

Published on 27 Jan 2017 - 19:32

406

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Solving higher order logarithms integrals without the beta function

Published on 28 Jan 2017 - 23:49

47

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A function whose value always increases, but not monotonically.

Published on 29 Jan 2017 - 0:43

233

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Closed form for $\sum_{k=0}^{\infty}\frac{\Gamma(k+z)\psi(k+1)}{k!}x^{k}$

Published on 29 Jan 2017 - 7:17

287

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Definition of incomplete gamma function

Published on 02 Apr 2026 - 11:21

313

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Product of two specific hypergeometric functions

Published on 29 Mar 2026 - 20:20

103

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Why can't $\mathbb{Li}(x)$ be evaluated?

Published on 02 Feb 2017 - 22:38

400

Views

Good reference for Special functions/no elementary functions.

Published on 03 Feb 2017 - 10:07

List Question

Hypergeometric Function on the Unit Circle

How to evaluate the integral $\int_0^{2\pi} \theta\exp(x\cos(\theta) + y\sin(\theta))) d\theta$

Finishing off integral of a Bessel function

How to check that function is in $W^{1,p}$ and not in $L^q$?

Linear transform from $_2F_1(a,b;c;\frac1x)$ to $_2F_1(\alpha,\beta;\gamma;\frac{1-x}{2})$?

Simplifying an expression involving the Lambert W function

Is $y(t) = x(2t)$ time invariant?

What counts as a "known" function

Solving higher order logarithms integrals without the beta function

A function whose value always increases, but not monotonically.

Closed form for $\sum_{k=0}^{\infty}\frac{\Gamma(k+z)\psi(k+1)}{k!}x^{k}$

Definition of incomplete gamma function

Product of two specific hypergeometric functions

Why can't $\mathbb{Li}(x)$ be evaluated?

Good reference for Special functions/no elementary functions.

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