Question

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

score 40 · Answer 1 · 2023-06-27 05:36:24

40

Views

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

Published on 27 Jun 2023 - 5:36

score 42 · Answer 2 · 2023-09-02 10:59:35

42

Views

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

Published on 02 Sep 2023 - 10:59

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 75 · Answer 4 · 2026-03-24 07:32:22

75

Views

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

Published on 24 Mar 2026 - 7:32

score 30 · Answer 5 · 2023-09-20 16:59:10

30

Views

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

Published on 20 Sep 2023 - 16:59

score 132 · Answer 6 · 2026-03-25 04:00:10

132

Views

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

Published on 25 Mar 2026 - 4:00

score 58 · Answer 7 · 2023-10-17 14:48:55

58

Views

Resummation of the following series

Published on 17 Oct 2023 - 14:48

score 438 · Answer 8 · 2023-11-13 22:32:41

438

Views

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

Published on 13 Nov 2023 - 22:32

score 69 · Answer 9 · 2023-11-15 17:31:24

69

Views

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

Published on 15 Nov 2023 - 17:31

score 158 · Answer 10 · 2023-12-06 20:55:27

158

Views

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

Published on 06 Dec 2023 - 20:55

score 445 · Answer 11 · 2023-12-26 22:25:16

445

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 26 Dec 2023 - 22:25

score 16 · Answer 12 · 2024-03-18 21:34:53

16

Views

Continued fraction of Laplace transform

Published on 18 Mar 2024 - 21:34

score 85 · Answer 13 · 2015-01-04 22:29:33

85

Views

Are these identities Newton series?

Published on 04 Jan 2015 - 22:29

score 107 · Answer 14 · 2015-02-18 11:13:08

107

Views

An identity on Polygamma

Published on 18 Feb 2015 - 11:13

score 37 · Answer 15 · 2015-02-19 14:43:57

37

Views

How can I get the value of k?

Published on 19 Feb 2015 - 14:43

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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