New posts in Special Functions

How to calculate the Kampé de Fériet function?

Simplify $\sum_{l=0}^\infty \sum_{r=0}^\infty\frac{\Gamma(L+r-2q)}{\Gamma(L+r-1+2q)} \frac{\Gamma(L+r+l-1+2q)}{\Gamma(L+r+l+2)}\frac{r+1}{r+l+2}$

Show that $\int_0^1 4 \space\operatorname{li}(x)^3 \space (x-1) \space x^{-3} dx = \zeta(3) $

How to derive relationship between Dedekind's $\eta$ function and $\Gamma(\frac{1}{4})$

A closed-form expression for $\int_0^\infty \frac{\ln (1+x^\alpha) \ln (1+x^{-\beta})}{x} \, \mathrm{d} x$

How are values of the Dirichlet Beta function derivative derived?

On the integral $\int_{0}^{1/2}\frac{\text{Li}_3(1-z)}{\sqrt{z(1-z)}}\,dz$

About the integral $\int_{0}^{\pi/4}\log^4(\cos\theta)\,d\theta$

Find the Limit of $‎\prod‎_{n=1}^{‎\infty}\frac{(1+‎\frac{1}{n}‎)^n}{(1+‎\frac{1}{n+x})^{n+x}}$

Some interesting integrals with dilogarithm