List questions from special-functions

Published on 12 Apr 2026 - 0:01

55

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An integral involving square roots and a product of two arc tangent functions.

Published on 10 Apr 2026 - 14:37

147

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Algebraic Properties of Special Values of the Error Function

Published on 11 Apr 2026 - 18:55

46

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Special function generating function

Published on 17 Apr 2026 - 3:02

75

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indefinite integral in terms of special functions

Published on 12 Apr 2026 - 11:43

674

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Application of the Bertrand integral

Published on 17 Apr 2026 - 11:41

75

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A closed-form for $\sum_{n=1}^{+\infty}(1-\operatorname{sinc}(n^{-1}))$

Published on 12 Apr 2026 - 23:19

36

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Summing over tanh squared

Published on 16 Apr 2026 - 21:20

63

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How to rewrite the surface integral $\int_{(s_1,\ldots,s_n) \in \mathbb S_{n-1}}\sqrt{1-s_1^2}ds$ as a special function

Published on 16 Apr 2026 - 8:15

419

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Solve: $j_n(ka)=\frac{ka}{n}j_{n-1}(ka)$. Zeros of equation with spherical Bessel functions.

Published on 15 Apr 2026 - 12:18

368

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Solve: $P_n^m(\cos\theta_w)=0$ for $\theta_w$. Zeros of Associated Legendre Polynomial

Published on 17 Apr 2026 - 7:58

34

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about a summary problem from middle school

Published on 08 Apr 2026 - 2:24

4.1k

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Computing the value of $\int_0^\frac\pi2\frac{\sin^{2m-1}\theta\cos^{2n-1}\theta}{(a\sin^2\theta+b\cos^2\theta)^{m+n}}\,d\theta$

Published on 15 Apr 2026 - 21:20

88

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What property of the hypergeometric function is employed to relate it to Bessel functions in this limit?

Published on 16 Apr 2026 - 6:27

142

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Logarithmic differentiation of a complicated product

Published on 12 Apr 2026 - 5:04

List Question

Derive an expression for Airy Bi function?

An integral involving square roots and a product of two arc tangent functions.

Algebraic Properties of Special Values of the Error Function

Special function generating function

indefinite integral in terms of special functions

Application of the Bertrand integral

A closed-form for $\sum_{n=1}^{+\infty}(1-\operatorname{sinc}(n^{-1}))$

Summing over tanh squared

How to rewrite the surface integral $\int_{(s_1,\ldots,s_n) \in \mathbb S_{n-1}}\sqrt{1-s_1^2}ds$ as a special function

Solve: $j_n(ka)=\frac{ka}{n}j_{n-1}(ka)$. Zeros of equation with spherical Bessel functions.

Solve: $P_n^m(\cos\theta_w)=0$ for $\theta_w$. Zeros of Associated Legendre Polynomial

about a summary problem from middle school

Computing the value of $\int_0^\frac\pi2\frac{\sin^{2m-1}\theta\cos^{2n-1}\theta}{(a\sin^2\theta+b\cos^2\theta)^{m+n}}\,d\theta$

What property of the hypergeometric function is employed to relate it to Bessel functions in this limit?

Logarithmic differentiation of a complicated product

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