New posts in Gamma Function

How to prove $\lim_{n\to\infty}\frac{1}{\Gamma(n/2+1)}\int_{0}^{n} t^{n/2}e^{-t}dt = 1$?

Asymptotic expansion of $\sum _{k=1}^n \left(\frac{k}{n}\right)^k$

How to attack the gamma function manually

Show $\int_{0}^{\infty}\frac{dx}{\sqrt{x^{4}+x}} = \frac{2 \Gamma(1/3) \Gamma(7/6)}{\sqrtπ}≈2.80436$

Gamma-Distribution-like integral

Find Harmonic Numbers for Imaginary and Complex Values

Integral $\int_{0}^{\pi}\frac{\sin^px}{1+\cos x} dx $

Prove that $\int_0^1 \frac{x^2}{\sqrt{x^4+1}} \, dx=\frac{\sqrt{2}}{2}-\frac{\pi ^{3/2}}{\Gamma \left(\frac{1}{4}\right)^2}$

Evaluate $\int_0^{\infty } \Bigl( 2qe^{-x}-\frac{\sinh (q x)}{\sinh \left(\frac{x}{2}\right)} \Bigr) \frac{dx}x$

The limit $\lim_{r\to0}\frac1r\left(1-\binom{n}{r}^{-1}\right)$