Question

Confluent hypergeometric integrand over finite domain

score 114 · Answer 1 · 2026-04-11 23:37:31

114

Views

Confluent hypergeometric integrand over finite domain

Published on 11 Apr 2026 - 23:37

score 275 · Answer 2 · 2026-04-12 11:47:14

275

Views

Integral representation of Hermite polynomial

Published on 12 Apr 2026 - 11:47

score 106 · Answer 3 · 2026-04-12 00:45:04

106

Views

Integration of hypergeometric function involving power and exponential function

Published on 12 Apr 2026 - 0:45

score 240 · Answer 4 · 2026-04-18 02:59:24

240

Views

Is $\sum_{n\ge0}(-1)^n\frac{\Gamma(\tfrac{n+1}{2})}{\Gamma(\tfrac{n}2+1)}=\frac{2}{\sqrt{\pi}}$ true?

Published on 18 Apr 2026 - 2:59

score 51 · Answer 5 · 2026-04-15 06:13:17

51

Views

Are there any functions that satisfy these properties?

Published on 15 Apr 2026 - 6:13

score 68 · Answer 6 · 2026-04-11 19:33:03

68

Views

Can this integral be written in terms of special functions?

Published on 11 Apr 2026 - 19:33

score 210 · Answer 7 · 2026-04-11 22:26:43

210

Views

Integral using Gamma and Beta function

Published on 11 Apr 2026 - 22:26

score 202 · Answer 8 · 2026-04-09 08:20:35

202

Views

How to compute this double integral involving the gamma function?

Published on 09 Apr 2026 - 8:20

score 74 · Answer 9 · 2026-04-16 23:24:17

74

Views

Evaluating $\int_{B^n(1)}e^{-|\vec{x}|}\frac{\cos|\vec{x}|}{\left(\sum_{m=2}^{n}x_{m}^2\right)^{(n-2)/2}}\,\mathrm{d}^nx$

Published on 16 Apr 2026 - 23:24

score 109 · Answer 10 · 2026-04-17 05:27:09

109

Views

Evaluate $\int\cdots\int_{\mathbb R^n}\prod_{i=1}^{n}\frac{x_i^me^{-x_i^2}}{e^{\frac{x_i}2}\cosh(\frac{x_i}2)}\mathbb dx_1 \cdots \mathbb dx_n$

Published on 17 Apr 2026 - 5:27

score 61 · Answer 11 · 2026-04-16 03:58:10

61

Views

Definite integral $ \int_0^{\infty}e^{-A\,x^m-B\,x^p}x^n(x-\alpha)^{\sigma}\,dx$ in terms of of special functions

Published on 16 Apr 2026 - 3:58

score 104 · Answer 12 · 2026-04-11 15:55:47

104

Views

Translation invariance of $\sum_{n\in\mathbb{Z}} \operatorname{sinc}(n+c)$

Published on 11 Apr 2026 - 15:55

score 207 · Answer 13 · 2026-04-08 18:25:14

207

Views

What is the solution to $\arctan -i$?

Published on 08 Apr 2026 - 18:25

score 126 · Answer 14 · 2026-04-15 05:18:49

126

Views

Prove about a integral with the special integral Beta $\mathbb{B}(\alpha,\beta)$.

Published on 15 Apr 2026 - 5:18

score 55 · Answer 15 · 2026-04-13 12:48:57

55

Views

How to rewrite this integral that involving the Meijer-G function as other special function?

Published on 13 Apr 2026 - 12:48

List Question

Confluent hypergeometric integrand over finite domain

Integral representation of Hermite polynomial

Integration of hypergeometric function involving power and exponential function

Is $\sum_{n\ge0}(-1)^n\frac{\Gamma(\tfrac{n+1}{2})}{\Gamma(\tfrac{n}2+1)}=\frac{2}{\sqrt{\pi}}$ true?

Are there any functions that satisfy these properties?

Can this integral be written in terms of special functions?

Integral using Gamma and Beta function

How to compute this double integral involving the gamma function?

Evaluating $\int_{B^n(1)}e^{-|\vec{x}|}\frac{\cos|\vec{x}|}{\left(\sum_{m=2}^{n}x_{m}^2\right)^{(n-2)/2}}\,\mathrm{d}^nx$

Evaluate $\int\cdots\int_{\mathbb R^n}\prod_{i=1}^{n}\frac{x_i^me^{-x_i^2}}{e^{\frac{x_i}2}\cosh(\frac{x_i}2)}\mathbb dx_1 \cdots \mathbb dx_n$

Definite integral $ \int_0^{\infty}e^{-A\,x^m-B\,x^p}x^n(x-\alpha)^{\sigma}\,dx$ in terms of of special functions

Translation invariance of $\sum_{n\in\mathbb{Z}} \operatorname{sinc}(n+c)$

What is the solution to $\arctan -i$?

Prove about a integral with the special integral Beta $\mathbb{B}(\alpha,\beta)$.

How to rewrite this integral that involving the Meijer-G function as other special function?

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