List questions from polylogarithm

Published on 24 Mar 2026 - 2:56

144

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An asymptotic behavior of $\operatorname{Li}_{-n}(a)$ for $n\to\infty$

Published on 22 Mar 2026 - 10:25

729

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On what domain is the dilogarithm analytic?

Published on 04 Nov 2015 - 19:07

444

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How to solve this integral: $\int_{-\infty}^\infty\frac{x^2 e^x}{(e^x+1)^2}\:dx$

Published on 29 Nov 2015 - 13:42

311

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Another polylog integral

Published on 30 Nov 2015 - 1:06

495

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Trilogarithm $\operatorname{Li}_3(z)$ and the imaginary golden ratio $i\,\phi$

Published on 18 Mar 2026 - 23:56

989

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Series with a reciprocal of the central binomial coefficient

Published on 17 Dec 2015 - 18:48

62

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Convergence of some sums of complex functions

Published on 18 Dec 2015 - 15:06

1k

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Closed form for $\sum_{n=0}^\infty\frac{\Gamma\left(n+\tfrac14\right)}{2^n\,(4n+1)^2\,n!}$

Published on 21 Dec 2015 - 20:21

9.2k

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Yet another log-sin integral $\int\limits_0^{\pi/3}\log(1+\sin x)\log(1-\sin x)\,dx$

Published on 25 Dec 2015 - 21:54

341

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Integral $\int_0^{1/2}\arcsin x\cdot\ln^3x\,dx$

Published on 05 Mar 2026 - 21:26

434

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Extract imaginary part of $\text{Li}_3\left(\frac{2}{3}-i \frac{2\sqrt{2}}{3}\right)$ in closed form

Published on 06 Jan 2016 - 22:30

87

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A problem on simplification $\operatorname{Li_3}\frac{1}{3}$

Published on 14 Jan 2016 - 18:04

288

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Closed form for this integral $I=\int_0^{1}\frac{{\arcsin}({x^2})}{\sqrt{1-x^2}}dx$

Published on 04 Feb 2016 - 21:01

489

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Another way of doing integration

Published on 08 Feb 2016 - 20:39

List Question

Strategies for evaluating sums $\sum_{n=1}^\infty \frac{H_n^{(m)}z^n}{n}$

An asymptotic behavior of $\operatorname{Li}_{-n}(a)$ for $n\to\infty$

On what domain is the dilogarithm analytic?

How to solve this integral: $\int_{-\infty}^\infty\frac{x^2 e^x}{(e^x+1)^2}\:dx$

Another polylog integral

Trilogarithm $\operatorname{Li}_3(z)$ and the imaginary golden ratio $i\,\phi$

Series with a reciprocal of the central binomial coefficient

Convergence of some sums of complex functions

Closed form for $\sum_{n=0}^\infty\frac{\Gamma\left(n+\tfrac14\right)}{2^n\,(4n+1)^2\,n!}$

Yet another log-sin integral $\int\limits_0^{\pi/3}\log(1+\sin x)\log(1-\sin x)\,dx$

Integral $\int_0^{1/2}\arcsin x\cdot\ln^3x\,dx$

Extract imaginary part of $\text{Li}_3\left(\frac{2}{3}-i \frac{2\sqrt{2}}{3}\right)$ in closed form

A problem on simplification $\operatorname{Li_3}\frac{1}{3}$

Closed form for this integral $I=\int_0^{1}\frac{{\arcsin}({x^2})}{\sqrt{1-x^2}}dx$

Another way of doing integration

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