List questions from polylogarithm

Published on 26 Mar 2024 - 17:20

550

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Ways to prove $ \int_0^1 \frac{\ln^2(1+x)}{x}dx = \frac{\zeta(3)}{4}$?

Published on 05 Jan 2015 - 13:48

178

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Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$

Published on 06 Jan 2015 - 22:16

1k

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Polylogarithms of negative integer order

Published on 23 Feb 2026 - 4:51

238

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About the series $\sum_{n\geq 0}\frac{1}{(2n+1)^2+k}$ and the digamma function

Published on 24 Feb 2015 - 21:03

240

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Real positive zeros of the polylogarithm function

Published on 02 Mar 2015 - 17:00

1.6k

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Find the derivative of a polylogarithm function

Published on 17 Mar 2015 - 21:18

323

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A possible dilogarithm identity?

Published on 01 May 2015 - 22:03

336

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Limit with polylog

Published on 10 May 2015 - 5:39

514

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How to find the value of this integral?

Published on 19 May 2015 - 14:06

721

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Value of polylogarithms $\mathrm{Li}_s(1)$ for $s<1$.

Published on 26 Mar 2026 - 18:59

1k

Views

Integral involving Clausen function ${\large\int}_0^{2\pi}\operatorname{Cl}_2(x)^2\,x^p\,dx$

Published on 21 May 2015 - 15:48

144

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Identification of a function: $\sum_{k=1}^\infty(\log(k))^n\frac{z^k}{k}$

Published on 26 May 2015 - 9:42

225

Views

Polylogarithms and the shuffle algebra

Published on 26 May 2015 - 20:20

714

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Definite integral of arcsine over square-root of quadratic

Published on 27 May 2015 - 2:58

List Question

How to determine the value of $\displaystyle f(x) = \sum_{n=1}^\infty\frac{\sqrt n}{n!}x^n$?

Ways to prove $ \int_0^1 \frac{\ln^2(1+x)}{x}dx = \frac{\zeta(3)}{4}$?

Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$

Polylogarithms of negative integer order

About the series $\sum_{n\geq 0}\frac{1}{(2n+1)^2+k}$ and the digamma function

Real positive zeros of the polylogarithm function

Find the derivative of a polylogarithm function

A possible dilogarithm identity?

Limit with polylog

How to find the value of this integral?

Value of polylogarithms $\mathrm{Li}_s(1)$ for $s<1$.

Integral involving Clausen function ${\large\int}_0^{2\pi}\operatorname{Cl}_2(x)^2\,x^p\,dx$

Identification of a function: $\sum_{k=1}^\infty(\log(k))^n\frac{z^k}{k}$

Polylogarithms and the shuffle algebra

Definite integral of arcsine over square-root of quadratic

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