New posts in polylogarithm

Compute polylog of order $3$ at $\frac{1}{2}$

calculus integration sequences-and-series special-functions polylogarithm

Integral $\int^1_0\frac{\ln{x} \ \mathrm{Li}_2(x)}{1-x}dx$

integration definite-integrals summation harmonic-numbers polylogarithm

The most complete reference for identities and special values for polylogarithm and polygamma functions

reference-request special-functions gamma-function polylogarithm polygamma

An integral involving a Gaussian, error functions and the Owen's T function.

integration special-functions error-function polylogarithm

The log integrals $\int_{0}^{1/2} \frac{\log(1+2x) \log(x)}{1+x} \, dx $ and $ \int_{0}^{1/2} \frac{\log(1+2x) \log(1-x)}{1+x} \, dx$

definite-integrals special-functions polylogarithm

Evaluate $ \int_{0}^{1} \log\left(\frac{x^2-2x-4}{x^2+2x-4}\right) \frac{\mathrm{d}x}{\sqrt{1-x^2}} $

real-analysis integration sequences-and-series definite-integrals polylogarithm

How to prove $\int_{0}^{-1} \frac{\operatorname{Li}_2(x)}{(1-x)^2} dx=\frac{\pi^2}{24}-\frac{\ln^2(2)}{2} $

calculus integration definite-integrals closed-form polylogarithm

Identity involving PolyLog functions

polylogarithm

Double Euler sum $ \sum_{k\geq 1} \frac{H_k^{(2)} H_k}{k^3} $

real-analysis sequences-and-series complex-analysis harmonic-numbers polylogarithm

Simplification of an expression containing $\operatorname{Li}_3(x)$ terms

calculus logarithms special-functions polylogarithm

Relations connecting values of the polylogarithm $\operatorname{Li}_n$ at rational points

calculus sequences-and-series logarithms special-functions polylogarithm

Sum $\sum^\infty_{n=1}\frac{(-1)^nH_n}{(2n+1)^2}$

sequences-and-series definite-integrals contour-integration harmonic-numbers polylogarithm

How to approach $\sum _{n=1}^{\infty } \frac{16^n}{n^4 \binom{2 n}{n}^2}$?

real-analysis integration sequences-and-series harmonic-numbers polylogarithm

How to compute $\sum_{n=1}^\infty\frac{H_n^2}{n^32^n}$?

integration sequences-and-series closed-form harmonic-numbers polylogarithm

Conjectured closed form for $\operatorname{Li}_2\!\left(\sqrt{2-\sqrt3}\cdot e^{i\pi/12}\right)$

closed-form conjectures polylogarithm experimental-mathematics polygamma

Calculating $\int_0^{\infty } \left(\text{Li}_2\left(-\frac{1}{x^2}\right)\right)^2 \, dx$

calculus integration definite-integrals special-functions polylogarithm

Polylogarithm ladders for the tribonacci and n-nacci constants

sequences-and-series special-functions golden-ratio polylogarithm

Proving $\text{Li}_3\left(-\frac{1}{3}\right)-2 \text{Li}_3\left(\frac{1}{3}\right)= -\frac{\log^33}{6}+\frac{\pi^2}{6}\log 3-\frac{13\zeta(3)}{6}$?

real-analysis sequences-and-series analysis special-functions polylogarithm

Closed form for $\int_0^e\mathrm{Li}_2(\ln{x})\,dx$?

integration definite-integrals special-functions closed-form polylogarithm

Proving that $\int_0^1 \frac{\log^2(x)\tanh^{-1}(x)}{1+x^2}dx=\beta(4)-\frac{\pi^2}{12}G$

integration definite-integrals special-functions polylogarithm