Question

Proof of closed-form solution of the difference of two factorial series

score 102 · Answer 1 · 2019-11-21 17:51:59

102

Views

Proof of closed-form solution of the difference of two factorial series

Published on 21 Nov 2019 - 17:51

score 197 · Answer 2 · 2019-11-30 13:22:49

197

Views

Proving interesting identities for an integral involving product of confluent hypergeometric functions.

Published on 30 Nov 2019 - 13:22

score 444 · Answer 3 · 2026-03-26 17:47:33

444

Views

Proving monotonicity of this ratio of Hypergeometric functions

Published on 26 Mar 2026 - 17:47

score 185 · Answer 4 · 2019-12-10 18:19:44

185

Views

Evaluate in closed form: $ \sum_{m=0}^\infty \sum_{n=0}^\infty \sum_{p=0}^\infty\frac{m!n!p!}{(m+n+p+2)!}$

Published on 10 Dec 2019 - 18:19

score 75 · Answer 5 · 2019-12-24 03:13:57

75

Views

Transformations relating ${}_3F_2$ at z with ${}_3F_2$ at $\frac{1}{1-z}$

Published on 24 Dec 2019 - 3:13

score 78 · Answer 6 · 2019-12-25 16:57:12

78

Views

How to prove the following identity involving the generalized hypergeometric function?

Published on 25 Dec 2019 - 16:57

score 122 · Answer 7 · 2020-01-04 19:27:41

122

Views

How to prove that ${}_2F_1(1,1;1;x)={}_2F_1(1,1;1+1/x;1)$

Published on 04 Jan 2020 - 19:27

score 167 · Answer 8 · 2020-01-05 00:19:13

167

Views

How to determine the coefficients of hypergeometric functions?

Published on 05 Jan 2020 - 0:19

score 77 · Answer 9 · 2026-03-25 23:52:19

77

Views

Integral of $\int_0^2(1-z)^{m-1}e^{-\frac{\kappa}{\alpha}z^{\alpha}}dz$

Published on 25 Mar 2026 - 23:52

score 257 · Answer 10 · 2020-01-05 17:36:02

257

Views

$I_k=\int_0^1 \frac{1}{\mathbf{B}(\alpha , \beta )} \cos^k (\pi \theta) \theta^{\alpha -1} (1-\theta)^{\beta -1}d\theta $

Published on 05 Jan 2020 - 17:36

score 101 · Answer 11 · 2020-01-07 05:33:53

101

Views

Is there a relationship between $a_i$ and $a_{i+1}$, where $a_i = {}_2{F_1}( - \delta ,i + 1;1 - \delta ; - z )$.

Published on 07 Jan 2020 - 5:33

score 139 · Answer 12 · 2020-01-07 15:22:08

139

Views

Integral involving $\log$'s

Published on 07 Jan 2020 - 15:22

score 493 · Answer 13 · 2026-03-26 14:34:34

493

Views

Sum of hypergeometric series, but I don't understand hypergeometric series.

Published on 26 Mar 2026 - 14:34

score 30 · Answer 14 · 2020-01-22 07:25:07

30

Views

Series similar to hypergeometric function

Published on 22 Jan 2020 - 7:25

score 82 · Answer 15 · 2026-03-25 14:21:36

82

Views

Asking for a reference which proves analytic continuation of Hypergeometric Function

Published on 25 Mar 2026 - 14:21

List Question

Proof of closed-form solution of the difference of two factorial series

Proving interesting identities for an integral involving product of confluent hypergeometric functions.

Proving monotonicity of this ratio of Hypergeometric functions

Evaluate in closed form: $ \sum_{m=0}^\infty \sum_{n=0}^\infty \sum_{p=0}^\infty\frac{m!n!p!}{(m+n+p+2)!}$

Transformations relating ${}_3F_2$ at z with ${}_3F_2$ at $\frac{1}{1-z}$

How to prove the following identity involving the generalized hypergeometric function?

How to prove that ${}_2F_1(1,1;1;x)={}_2F_1(1,1;1+1/x;1)$

How to determine the coefficients of hypergeometric functions?

Integral of $\int_0^2(1-z)^{m-1}e^{-\frac{\kappa}{\alpha}z^{\alpha}}dz$

$I_k=\int_0^1 \frac{1}{\mathbf{B}(\alpha , \beta )} \cos^k (\pi \theta) \theta^{\alpha -1} (1-\theta)^{\beta -1}d\theta $

Is there a relationship between $a_i$ and $a_{i+1}$, where $a_i = {}_2{F_1}( - \delta ,i + 1;1 - \delta ; - z )$.

Integral involving $\log$'s

Sum of hypergeometric series, but I don't understand hypergeometric series.

Series similar to hypergeometric function

Asking for a reference which proves analytic continuation of Hypergeometric Function

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