Question

What is the intersection point of the graphs of digamma and trigamma functions?

score 41 · Answer 1 · 2026-03-25 19:10:17

41

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What is the intersection point of the graphs of digamma and trigamma functions?

Published on 25 Mar 2026 - 19:10

score 43 · Answer 2 · 2026-03-25 16:03:51

43

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Integral representation of $\psi^{(\nu)}(z)$ for $\nu>0$ but $\nu\not\in\mathbb{N}$

Published on 25 Mar 2026 - 16:03

score 17 · Answer 3 · 2026-03-14 01:56:44

17

Views

Generalization of complete Bell polynomial $B_n(x_1,...,x_n)\mapsto B_{\nu}(f(\nu))$

Published on 14 Mar 2026 - 1:56

score 88 · Answer 4 · 2026-04-21 18:31:29

88

Views

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Published on 21 Apr 2026 - 18:31

score 33 · Answer 5 · 2026-04-14 18:29:01

33

Views

Distributions of a product and of sums of products of iid, standard normal random variables.

Published on 14 Apr 2026 - 18:29

score 134 · Answer 6 · 2026-05-07 07:46:29

134

Views

closed form for $\psi^{(-2)}\left(\frac{1}{4} \right)$

Published on 07 May 2026 - 7:46

score 59 · Answer 7 · 2026-03-25 12:54:23

59

Views

Resummation of the following series

Published on 25 Mar 2026 - 12:54

score 439 · Answer 8 · 2026-03-25 14:24:37

439

Views

Series involving derivative of Riemann Zeta function: $\displaystyle \sum_{k=2}^{\infty}\zeta'(k)x^{k-1}$

Published on 25 Mar 2026 - 14:24

score 70 · Answer 9 · 2026-03-25 12:53:13

70

Views

Calculation of a derivative of a function related to the Euler Gamma function

Published on 25 Mar 2026 - 12:53

score 159 · Answer 10 · 2026-03-25 14:22:53

159

Views

Does a closed-form expression exist for $ \int_0^\infty \ln(x) \operatorname{sech}(x)^n dx $?

Published on 25 Mar 2026 - 14:22

score 446 · Answer 11 · 2026-03-25 12:50:46

446

Views

Prove the zeta log gamma integral $\int_0^1{\zeta(1-n,1-t)\ln\Gamma{(t)}}dt = \frac{H_n\zeta(-n)+\zeta’(-n)}{n}$

Published on 25 Mar 2026 - 12:50

score 17 · Answer 12 · 2026-03-25 12:49:09

17

Views

Continued fraction of Laplace transform

Published on 25 Mar 2026 - 12:49

score 86 · Answer 13 · 2026-03-25 12:46:32

86

Views

Are these identities Newton series?

Published on 25 Mar 2026 - 12:46

score 108 · Answer 14 · 2026-03-25 14:19:45

108

Views

An identity on Polygamma

Published on 25 Mar 2026 - 14:19

score 38 · Answer 15 · 2026-03-25 12:49:17

38

Views

How can I get the value of k?

Published on 25 Mar 2026 - 12:49

List Question

What is the intersection point of the graphs of digamma and trigamma functions?

Integral representation of $\psi^{(\nu)}(z)$ for $\nu>0$ but $\nu\not\in\mathbb{N}$

Generalization of complete Bell polynomial $B_n(x_1,...,x_n)\mapsto B_{\nu}(f(\nu))$

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Distributions of a product and of sums of products of iid, standard normal random variables.

closed form for $\psi^{(-2)}\left(\frac{1}{4} \right)$

Resummation of the following series

Series involving derivative of Riemann Zeta function: $\displaystyle \sum_{k=2}^{\infty}\zeta'(k)x^{k-1}$

Calculation of a derivative of a function related to the Euler Gamma function

Does a closed-form expression exist for $ \int_0^\infty \ln(x) \operatorname{sech}(x)^n dx $?

Prove the zeta log gamma integral $\int_0^1{\zeta(1-n,1-t)\ln\Gamma{(t)}}dt = \frac{H_n\zeta(-n)+\zeta’(-n)}{n}$

Continued fraction of Laplace transform

Are these identities Newton series?

An identity on Polygamma

How can I get the value of k?

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