List questions from digamma-function | MathQa

Digamma function ratio limit

Published on 12 Jan 2025 - 23:47

Prove that $ \int_0^1 x^2 \psi(x) \, dx = \ln\left(\frac{A^2}{\sqrt{2\pi}} \right) $

Published on 12 Jan 2025 - 23:18

Minimizing $f(x)=A^{\frac{tx-1}{x-1}} \left( c^x \frac{\Gamma(0.5+x)}{\sqrt{\pi}} \right)^{\frac{1-t}{x-1}}$ subject to the constraint

Published on 12 Jan 2025 - 23:32

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

Published on 12 Jan 2025 - 23:21

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

Published on 12 Jan 2025 - 23:14

Digamma function in expectation

Published on 12 Jan 2025 - 18:48

Expectation about Generalized exponential distribution

Published on 12 Jan 2025 - 23:48

How to evaluate these two integrals about hyperbolic functions?

Published on 12 Jan 2025 - 23:18

Newton Series for the Digamma Function

Published on 12 Jan 2025 - 23:01

Evaluation of sum of digamma function.

Published on 12 Jan 2025 - 23:05