New posts in Digamma Function

Evaluating $I(z,s)=\int_0^1\int_0^1\left(1-\frac{(1-x)(1-y)}{(1-(1-z)x)(1-(1-z)y)}\right)^{s-2}\,\mathrm dx\mathrm dy$

Closed form of the sum $\sum_{n=1}^{\infty}\frac{H_n}{n^x}$

How to evaluate $\int_0^{\pi/2} x\ln^2(\sin x)\textrm{d}x$ in a different way?

Alternative approaches to showing that $\Gamma'(1/2)=-\sqrt\pi\left(\gamma+\log(4)\right)$

Evaluation of $\int\limits ^{\infty }_{0}\frac{x}{\left( x^{2} +1\right)^2\left( e^{tx} +1\right)} dx$

Find Harmonic Numbers for Imaginary and Complex Values

Digamma Identities

How to calculate $\int_0^{\frac{\pi}{2}}{x^2\cot x\ln\cos x\, \text{d}x}$.

What is the closed form of $\sum_{n\geq 1}(-1)^{n-1}\psi'(n)^2$?

Conjecture for the value of $\int_0^1 \frac{1}{1+x^{p}}dx$