Question

simplifying triple summations from series expansion

score 98 · Answer 1 · 2026-04-12 02:12:13

98

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simplifying triple summations from series expansion

Published on 12 Apr 2026 - 2:12

score 185 · Answer 2 · 2026-04-15 21:11:59

185

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Can any one prove for me $\ln(1+x) = \large{G}_{2,2}^{1,2}\left( x \left| \begin{array}{cc} 1,1 \\ 1,0 \end{array} \right. \right).$

Published on 15 Apr 2026 - 21:11

score 199 · Answer 3 · 2026-04-11 16:33:05

199

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Solutions for $\Gamma(n+1)$ = $\alpha$

Published on 11 Apr 2026 - 16:33

score 691 · Answer 4 · 2026-04-12 00:23:46

691

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Definite Integral over the Gamma Function

Published on 12 Apr 2026 - 0:23

score 1.7k · Answer 5 · 2026-04-13 18:15:08

1.7k

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Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Published on 13 Apr 2026 - 18:15

score 99 · Answer 6 · 2026-04-17 12:27:22

99

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Show that $\int_{0}^{1}(1-u)^p u^{p+1} \text{d}u = \frac{\Gamma(p+1)\Gamma(p+2)}{\Gamma(2p+3)}$

Published on 17 Apr 2026 - 12:27

score 216 · Answer 7 · 2026-05-10 13:26:08

216

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Limit of sum of sequences at infinity

Published on 10 May 2026 - 13:26

score 783 · Answer 8 · 2026-05-10 18:04:28

783

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How to switch to polar coordinates with Gaussian Integral?

Published on 10 May 2026 - 18:04

score 220 · Answer 9 · 2026-04-17 14:00:57

220

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Gamma function: relating infinite product and integral definitions. Stuck on a step in the proof.

Published on 17 Apr 2026 - 14:00

score 218 · Answer 10 · 2026-04-15 08:43:54

218

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The series $\sum_{n=0}^\infty \frac{(-\beta)^n}{n!}\Gamma\left(\frac{n+1}{2},\alpha\right)$

Published on 15 Apr 2026 - 8:43

score 238 · Answer 11 · 2026-04-12 02:53:18

238

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exponential integral with arbitrary power of variable

Published on 12 Apr 2026 - 2:53

score 60 · Answer 12 · 2026-05-11 04:17:55

60

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How to approximate a fraction of gamma functions evaluated at huge values

Published on 11 May 2026 - 4:17

score 1.1k · Answer 13 · 2026-05-10 16:02:35

1.1k

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Set the mode and median of a gamma distribution equal to each other

Published on 10 May 2026 - 16:02

score 534 · Answer 14 · 2026-04-17 08:01:43

534

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Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Published on 17 Apr 2026 - 8:01

score 543 · Answer 15 · 2026-04-16 23:01:33

543

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Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

Published on 16 Apr 2026 - 23:01

List Question

simplifying triple summations from series expansion

Can any one prove for me $\ln(1+x) = \large{G}_{2,2}^{1,2}\left( x \left| \begin{array}{cc} 1,1 \\ 1,0 \end{array} \right. \right).$

Solutions for $\Gamma(n+1)$ = $\alpha$

Definite Integral over the Gamma Function

Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Show that $\int_{0}^{1}(1-u)^p u^{p+1} \text{d}u = \frac{\Gamma(p+1)\Gamma(p+2)}{\Gamma(2p+3)}$

Limit of sum of sequences at infinity

How to switch to polar coordinates with Gaussian Integral?

Gamma function: relating infinite product and integral definitions. Stuck on a step in the proof.

The series $\sum_{n=0}^\infty \frac{(-\beta)^n}{n!}\Gamma\left(\frac{n+1}{2},\alpha\right)$

exponential integral with arbitrary power of variable

How to approximate a fraction of gamma functions evaluated at huge values

Set the mode and median of a gamma distribution equal to each other

Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

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