Question

What's the integration formula for the confluent hypergeometric function (Kummer $U$ function) when $a$ is a negative integer?

score 137 · Answer 1 · 2023-04-15 08:57:57

137

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What's the integration formula for the confluent hypergeometric function (Kummer $U$ function) when $a$ is a negative integer?

Published on 15 Apr 2023 - 8:57

score 101 · Answer 2 · 2023-04-17 03:40:11

101

Views

How to prove hypergeometric function inequality

Published on 17 Apr 2023 - 3:40

score 841 · Answer 3 · 2023-04-21 13:23:13

841

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Is it possible to express this function with a hypergeometric function?

Published on 21 Apr 2023 - 13:23

score 138 · Answer 4 · 2023-04-23 04:31:06

138

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Double integral in terms of 4F3 hypergeometric function

Published on 23 Apr 2023 - 4:31

score 119 · Answer 5 · 2026-03-30 00:24:32

119

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Upper bound on sum of squares of binomial probabilities

Published on 30 Mar 2026 - 0:24

score 121 · Answer 6 · 2023-04-24 04:02:05

121

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Evaluate $\int_0^x t^{-1}(t^a+b)^{1/a}dt$

Published on 24 Apr 2023 - 4:02

score 305 · Answer 7 · 2023-04-25 12:37:44

305

Views

Negative arguments of hypergeometric functions

Published on 25 Apr 2023 - 12:37

score 377 · Answer 8 · 2026-03-26 06:30:10

377

Views

Evaluate $I(a,b)=\int_{0}^{1}k^a(1-k^2)^bK(k)\text{d}k$

Published on 26 Mar 2026 - 6:30

score 33 · Answer 9 · 2023-04-30 21:56:29

33

Views

Special form for Gaussian hypergeometric function with a=1 and z=-1

Published on 30 Apr 2023 - 21:56

score 31 · Answer 10 · 2023-05-01 05:54:15

31

Views

About a definite integral involving the Gauss Hypergeometric funcyion

Published on 01 May 2023 - 5:54

score 136 · Answer 11 · 2026-02-23 06:37:07

136

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Any suggestions on how to get started on solving this differential equation?

Published on 23 Feb 2026 - 6:37

score 54 · Answer 12 · 2023-05-04 22:43:45

54

Views

Residue of Generalized Hypergeometric Functon at Nonpositive Indices for $p=3$ and $q=2$

Published on 04 May 2023 - 22:43

score 191 · Answer 13 · 2026-03-27 01:45:06

191

Views

Solution to degenerate case of hypergeometric differential equation

Published on 27 Mar 2026 - 1:45

score 156 · Answer 14 · 2023-05-31 05:57:16

156

Views

Asymptotic expansion of a hypergeometric function

Published on 31 May 2023 - 5:57

score 35 · Answer 15 · 2023-06-01 01:45:04

35

Views

What is the radius of convergence, $R$, of the Taylor series of the ordinary hypergeometric function?

Published on 01 Jun 2023 - 1:45

List Question

What's the integration formula for the confluent hypergeometric function (Kummer $U$ function) when $a$ is a negative integer?

How to prove hypergeometric function inequality

Is it possible to express this function with a hypergeometric function?

Double integral in terms of 4F3 hypergeometric function

Upper bound on sum of squares of binomial probabilities

Evaluate $\int_0^x t^{-1}(t^a+b)^{1/a}dt$

Negative arguments of hypergeometric functions

Evaluate $I(a,b)=\int_{0}^{1}k^a(1-k^2)^bK(k)\text{d}k$

Special form for Gaussian hypergeometric function with a=1 and z=-1

About a definite integral involving the Gauss Hypergeometric funcyion

Any suggestions on how to get started on solving this differential equation?

Residue of Generalized Hypergeometric Functon at Nonpositive Indices for $p=3$ and $q=2$

Solution to degenerate case of hypergeometric differential equation

Asymptotic expansion of a hypergeometric function

What is the radius of convergence, $R$, of the Taylor series of the ordinary hypergeometric function?

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