List questions from special-functions

Published on 25 Mar 2026 - 15:56

154

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Evaluating a variant of the polylogarithm

Published on 26 Mar 2026 - 19:37

373

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Evaluating the series $\sum_{n=1}^{‎\infty‎}\frac{\pi^n}{n!n^p}B_n(z)$, when $z=0$ or $z=1$.

Published on 11 May 2020 - 7:03

117

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Evaluating $\int_0^\pi\frac{e^{-\sin x}}{e^{-\sin x}+e\sin x}dx$

Published on 13 May 2020 - 0:34

132

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Summation of a quotient with a square root: $ \sum\limits_{n=-\infty}^{\infty}\frac{e^{inx}}{\sqrt{k^{2}-(n+\alpha)^{2}}(n+\beta)} $

Published on 13 May 2020 - 9:59

66

Views

Triple product identity for the Gamma function

Published on 30 Mar 2026 - 16:43

59

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How to solve equations involving the sum of special exponential functions?

Published on 15 May 2020 - 13:27

140

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Proof of the expression of upper incomplete gamma function as an finite summation.

Published on 16 May 2020 - 6:49

136

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Applying the Lambert W function for a new equation

Published on 16 May 2020 - 19:09

200

Views

Summation and integral representations of special functions

Published on 20 May 2020 - 8:33

347

Views

Integral over triple Legendre polynomials involving derivatives

Published on 25 Mar 2026 - 20:35

420

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Inverse of $f(x)=x^n(1-x)^k$

Published on 29 Mar 2026 - 5:50

57

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Show that $P_n(x) ={}_2F_1\left(-n,n+1;1;\frac{1-x}{2}\right)$.

Published on 25 Mar 2026 - 20:36

52

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Express in terms of Euler integrals

Published on 26 May 2020 - 14:55

49

Views

Confluent hypergeometric function for integer values in a closed form

Published on 27 May 2020 - 18:10

List Question

Hydrogen atom Radial wave function integrations

Evaluating a variant of the polylogarithm

Evaluating the series $\sum_{n=1}^{‎\infty‎}\frac{\pi^n}{n!n^p}B_n(z)$, when $z=0$ or $z=1$.

Evaluating $\int_0^\pi\frac{e^{-\sin x}}{e^{-\sin x}+e\sin x}dx$

Summation of a quotient with a square root: $ \sum\limits_{n=-\infty}^{\infty}\frac{e^{inx}}{\sqrt{k^{2}-(n+\alpha)^{2}}(n+\beta)} $

Triple product identity for the Gamma function

How to solve equations involving the sum of special exponential functions?

Proof of the expression of upper incomplete gamma function as an finite summation.

Applying the Lambert W function for a new equation

Summation and integral representations of special functions

Integral over triple Legendre polynomials involving derivatives

Inverse of $f(x)=x^n(1-x)^k$

Show that $P_n(x) ={}_2F_1\left(-n,n+1;1;\frac{1-x}{2}\right)$.

Express in terms of Euler integrals

Confluent hypergeometric function for integer values in a closed form

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