Question

Prove a hypergeometric Identity: $\frac{\Gamma(\frac14)^2 }{8\sqrt{\pi}}\,_3F_2(.) +\frac1{2\pi}\,_3F_2(.) =\frac{\Gamma( \frac14 )^6}{32\pi^{7/2}}$

score 121 · Answer 1 · 2023-09-24 05:52:26

Prove a hypergeometric Identity: $\frac{\Gamma(\frac14)^2 }{8\sqrt{\pi}}\,_3F_2(.) +\frac1{2\pi}\,_3F_2(.) =\frac{\Gamma( \frac14 )^6}{32\pi^{7/2}}$

score 259 · Answer 2 · 2023-09-27 21:24:09

259

Views

Do the roots of this function all reside on the line $\Re(s) = \frac12$?

Published on 27 Sep 2023 - 21:24

score 210 · Answer 3 · 2023-10-01 14:36:37

210

Views

Asymptotic Estimate of Singular Behaviour of an Integral

Published on 01 Oct 2023 - 14:36

score 33 · Answer 4 · 2023-10-06 17:42:41

33

Views

cdf of hypergeometric related to Appell Series

Published on 06 Oct 2023 - 17:42

score 28 · Answer 5 · 2026-03-26 07:58:53

28

Views

how to prove the following or a reference for the following

Published on 26 Mar 2026 - 7:58

score 74 · Answer 6 · 2026-02-23 06:22:22

74

Views

Prove hypergeometric distribution belongs to a complete family

Published on 23 Feb 2026 - 6:22

score 154 · Answer 7 · 2023-10-10 12:38:17

154

Views

Does this Hypergeometric Function a Closed form?

Published on 10 Oct 2023 - 12:38

score 115 · Answer 8 · 2023-10-14 03:27:30

115

Views

Hypergeometric representation of an integral

Published on 14 Oct 2023 - 3:27

score 36 · Answer 9 · 2026-03-27 06:06:27

36

Views

regularized incomplete beta function integration

Published on 27 Mar 2026 - 6:06

score 51 · Answer 10 · 2026-03-27 06:06:40

51

Views

Proof on representing the incomplete beta function as a hypergeometric function

Published on 27 Mar 2026 - 6:06

score 48 · Answer 11 · 2023-10-22 17:43:07

48

Views

Kummer transformation for a homogenous second order ODE

Published on 22 Oct 2023 - 17:43

score 50 · Answer 12 · 2023-10-25 14:54:12

50

Views

How to derive $\mathcal{L}\{ \log^2(1+t)\}(s) = \log(2/s^3 + 2/s^2 + 1/s)$?

Published on 25 Oct 2023 - 14:54

score 361 · Answer 13 · 2023-10-28 14:09:46

361

Views

Prove $\,_3F_2\left ( \frac12,\frac12,1;\frac34,\frac34;-\frac18 \right ) =\frac23+\frac{\Gamma\left ( \frac34 \right )^2}{3\sqrt{\pi} }$

Published on 28 Oct 2023 - 14:09

score 42 · Answer 14 · 2026-03-25 18:47:20

42

Views

Mellin-Barnes integrals as "master integrals" in code for automated computation of Feynman graphs

Published on 25 Mar 2026 - 18:47

score 60 · Answer 15 · 2026-03-26 06:26:42

60

Views

pochammer symbol and hypergeometric function

Published on 26 Mar 2026 - 6:26

List Question

Prove a hypergeometric Identity: $\frac{\Gamma(\frac14)^2 }{8\sqrt{\pi}}\,_3F_2(.) +\frac1{2\pi}\,_3F_2(.) =\frac{\Gamma( \frac14 )^6}{32\pi^{7/2}}$

Do the roots of this function all reside on the line $\Re(s) = \frac12$?

Asymptotic Estimate of Singular Behaviour of an Integral

cdf of hypergeometric related to Appell Series

how to prove the following or a reference for the following

Prove hypergeometric distribution belongs to a complete family

Does this Hypergeometric Function a Closed form?

Hypergeometric representation of an integral

regularized incomplete beta function integration

Proof on representing the incomplete beta function as a hypergeometric function

Kummer transformation for a homogenous second order ODE

How to derive $\mathcal{L}\{ \log^2(1+t)\}(s) = \log(2/s^3 + 2/s^2 + 1/s)$?

Prove $\,_3F_2\left ( \frac12,\frac12,1;\frac34,\frac34;-\frac18 \right ) =\frac23+\frac{\Gamma\left ( \frac34 \right )^2}{3\sqrt{\pi} }$

Mellin-Barnes integrals as "master integrals" in code for automated computation of Feynman graphs

pochammer symbol and hypergeometric function

Trending Questions

Popular # Hahtags

Popular Questions