New posts in gamma-function

Continued Fraction: Please prove $\frac{1}{e \gamma (x+1,1)}=x+\frac{1}{x+1+\frac{2}{x+2+\frac{3}{x+3+\frac{4}{\dots}}}}$

Question Relating Gamma Function to Riemann Zeta function evaluated at integers

Expressing Zeta function using Gamma series

Proving monotonicity of this ratio of Hypergeometric functions

Solution of an integral with strange imprecision of gamma functions

Computing $ \int_0^{\infty} \frac{ \sqrt [3] {x+1}-\sqrt [3] {x}}{\sqrt{x}} \mathrm dx$

Calculate the integral $\int_0^{\infty} \frac{x^{\alpha-1}e^{-x}+1}{x+2}dx$

Closed form for $\int x^ne^{-x^m} \ dx\ ?$

Prove that $2^{2z-1}\Gamma(z)\,\Gamma(z+\frac{1}{2})=\sqrt{\pi}\,\Gamma(2z)$ using Gauss's identity.

Detailed explanation of the Γ reflection formula understandable by an AP Calculus student

Prove the following beta integral identity

How to show $\int_{\mathbb{R}}{t \choose x}^2{x \choose t}~dx = 1$

How do I figure out what kind of distribution this is?

Gamma & Zeta Summation $\sum_{n=0}^{\infty}\frac{\Gamma(n+s)\zeta(n+s)}{(n+1)!}=0$

Expansion of two Gamma function

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

Intuitive explanation of Poisson distribution

Show that $\frac1{\sqrt{(n+\frac12) \pi}} \le\frac{1\cdot 3\cdot 5 ... (2n-1)}{2\cdot 4\cdot 6 ... (2n)} \le \frac1{\sqrt{n \pi}} $

$ \int_0^\frac{\pi}{2}\ln^n\left(\tan(x)\right)\:dx$

Variations on the Stirling's formula for $\Gamma(z)$