New posts in Gamma Function

A hard integral

What is $\int_0^\infty\frac{x^{z-1}}{x+1} dx$?

Is there a flaw in the theory of fractional calculus?

How does one show that $\sum_{n=0}^{\infty}\left(-{1\over x}\right)^n\cdot{\Gamma\left({2n+1\over 2}\right)\over n!}=\sqrt{{x\pi\over x+1}}?$

What is this series relating to the residues of the Gamma function?

Expressing Zeta function using Gamma series

Real methods for evaluating $\int_{0}^{\infty}\frac{\log x \sin x}{e^x}\mathrm{d}x$

Closed form (or an ODE) for the integral $\int_0^\infty \frac{1+z^2}{1+z^4} \frac{z^p}{1+z^{2p}} dz$

Help find closed form for:$\sum_{n=0}^{\infty}{(-1)^n\left({{\pi\over 2}}\right)^{2n}\over (2n+k)!}=F(k)$

Is $\frac{1}{\pi}\int_{0}^{\infty} \Gamma(\sigma +xi)^2\,\Gamma(\sigma-xi)^2 \,dx = \frac{\Gamma(2\,\sigma)^4}{\Gamma(4\,\sigma)}$?