Question

Integral involving a Gaussian hypergeometric function and a rational function

score 99 · Answer 1 · 2026-04-14 12:06:36

99

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Integral involving a Gaussian hypergeometric function and a rational function

Published on 14 Apr 2026 - 12:06

score 97 · Answer 2 · 2026-04-11 16:58:19

97

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Hypergeometric identity

Published on 11 Apr 2026 - 16:58

score 65 · Answer 3 · 2026-04-10 03:40:19

65

Views

An identity for generalized hypergeometric function

Published on 10 Apr 2026 - 3:40

score 63 · Answer 4 · 2026-04-14 05:02:41

63

Views

Correction terms in the asymptotics of hypergeometric function

Published on 14 Apr 2026 - 5:02

score 659 · Answer 5 · 2026-04-11 23:20:37

659

Views

Rewriting Appell's Hypergeometric Function $F_1$ in terms of Gauss' Hypergeometric Function $_2F_1$

Published on 11 Apr 2026 - 23:20

score 237 · Answer 6 · 2026-05-10 17:02:24

237

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On $\sum_{n=0}^{\infty}{2n+3\choose n+1} \left(\frac{1}{2^n}\cdot\frac{3}{2n+1}\right)^4$ and Gieseking's constant

Published on 10 May 2026 - 17:02

score 299 · Answer 7 · 2026-04-17 13:00:52

An identity on $\small{}_pF_q\left(\left.\begin{array}{c} a_1+1,a_2+1,\dots ,a_p+1\\ b_1+1,b_2+1,\dots ,b_q+1\end{array}\right| z\right)$

score 68 · Answer 8 · 2026-05-07 11:47:03

68

Views

What closed forms exist for this basic hypergeometric series?

Published on 07 May 2026 - 11:47

score 517 · Answer 9 · 2026-05-11 01:54:50

517

Views

Hypergeometric function 3F2 with unit argument

Published on 11 May 2026 - 1:54

score 23 · Answer 10 · 2026-04-13 20:55:09

23

Views

Probability of absence and presence of an object whilst sampling without replacement in an unknown pool

Published on 13 Apr 2026 - 20:55

score 2.3k · Answer 11 · 2026-04-12 14:21:44

2.3k

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Asymptotics of Hypergeometric $_2F_1(a;b;c;z)$ for large $|z| \to \infty$?

Published on 12 Apr 2026 - 14:21

score 635 · Answer 12 · 2026-05-10 19:14:49

635

Views

An intriguing pattern in Ramanujan's theory of elliptic functions that stops?

Published on 10 May 2026 - 19:14

score 73 · Answer 13 · 2026-04-16 20:01:55

Evaluating $\lim_{\epsilon\to 0^{+}}\ \frac{ _2F_1\left( \tfrac{1}{2} - \nu, \tfrac{1}{2} + \nu; \epsilon; y \right) }{\Gamma(\epsilon)}$

score 82 · Answer 14 · 2026-04-15 13:49:06

82

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Formula for ${}_2F_1(h,-n, 2h; 2)$.

Published on 15 Apr 2026 - 13:49

score 353 · Answer 15 · 2026-04-15 23:39:54

353

Views

What is the amount of draws necessary to see all red cards from a standard deck of 52 cards if you draw 5 cards from the deck?

Published on 15 Apr 2026 - 23:39

List Question

Integral involving a Gaussian hypergeometric function and a rational function

Hypergeometric identity

An identity for generalized hypergeometric function

Correction terms in the asymptotics of hypergeometric function

Rewriting Appell's Hypergeometric Function $F_1$ in terms of Gauss' Hypergeometric Function $_2F_1$

On $\sum_{n=0}^{\infty}{2n+3\choose n+1} \left(\frac{1}{2^n}\cdot\frac{3}{2n+1}\right)^4$ and Gieseking's constant

An identity on $\small{}_pF_q\left(\left.\begin{array}{c} a_1+1,a_2+1,\dots ,a_p+1\\ b_1+1,b_2+1,\dots ,b_q+1\end{array}\right| z\right)$

What closed forms exist for this basic hypergeometric series?

Hypergeometric function 3F2 with unit argument

Probability of absence and presence of an object whilst sampling without replacement in an unknown pool

Asymptotics of Hypergeometric $_2F_1(a;b;c;z)$ for large $|z| \to \infty$?

An intriguing pattern in Ramanujan's theory of elliptic functions that stops?

Evaluating $\lim_{\epsilon\to 0^{+}}\ \frac{ _2F_1\left( \tfrac{1}{2} - \nu, \tfrac{1}{2} + \nu; \epsilon; y \right) }{\Gamma(\epsilon)}$

Formula for ${}_2F_1(h,-n, 2h; 2)$.

What is the amount of draws necessary to see all red cards from a standard deck of 52 cards if you draw 5 cards from the deck?

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