New posts in digamma-function

Closed form to an interesting series: $\sum_{n=1}^\infty \frac{1}{1+n^3}$

calculus integration sequences-and-series closed-form digamma-function

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

calculus integration definite-integrals harmonic-numbers digamma-function

Gauss Digamma theorem proof

integration sequences-and-series special-functions digamma-function

Beautiful monster: Catalan's constant and the Digamma function

integration definite-integrals fourier-series digamma-function catalans-constant

Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$

integration sequences-and-series digamma-function polygamma

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

sequences-and-series special-functions harmonic-numbers digamma-function

Help with $-\int_0^1 \ln(1+x)\ln(1-x)dx$

sequences-and-series definite-integrals digamma-function

The meaning and definition of $\psi^{(-2)}(x)$, and the convergence of some related series involving the Möbius function

derivatives convergence-divergence mobius-function polygamma digamma-function

Is there a more elementary way to arrive at: $\ln(m)=\lim_{n\to\infty}\sum_{k=n+1}^{mn}\frac{1}{k}$?

calculus sequences-and-series logarithms digamma-function

What do we know about $\sum_\limits{n=0}^{\infty} \frac{(-1)^n}{kn+1}$?

sequences-and-series reference-request digamma-function