Question

A sum resembling binomial distribution

score 87 · Answer 1 · 2026-03-27 07:57:26

87

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A sum resembling binomial distribution

Published on 27 Mar 2026 - 7:57

score 45 · Answer 2 · 2026-04-04 03:22:24

45

Views

$\log \Gamma(z + 1) = \log \Gamma (z) + \log z$ issue

Published on 04 Apr 2026 - 3:22

score 57 · Answer 3 · 2026-04-04 03:19:05

57

Views

Why do we want these properties to be in the extended factorial function?

Published on 04 Apr 2026 - 3:19

score 37 · Answer 4 · 2026-03-30 22:40:42

37

Views

Evaluating the limit of a function involving exponential and hypergeometric functions as it approaches infinity.

Published on 30 Mar 2026 - 22:40

score 107 · Answer 5 · 2026-04-04 03:20:39

107

Views

Are there alternatives functions for the gamma function that was used as generalisation for the factorials?

Published on 04 Apr 2026 - 3:20

score 167 · Answer 6 · 2026-04-01 10:45:05

167

Views

Integration of hypergeometric function on complex plane

Published on 01 Apr 2026 - 10:45

score 14 · Answer 7 · 2026-04-02 05:48:18

14

Views

set of orthogonal quasiperiodic functions

Published on 02 Apr 2026 - 5:48

score 114 · Answer 8 · 2026-03-31 16:25:03

114

Views

Solve the second order equation $u^{\prime \prime}(t)=\frac{16 t\left(\beta t^3-27\right)}{81 \beta} u(t)$

Published on 31 Mar 2026 - 16:25

score 59 · Answer 9 · 2026-03-27 15:20:08

59

Views

Reduce $\frac{d^{n-1}}{dw^{n-1}}\frac{4^{-n/{\sqrt w}}}{\sqrt w}\Big|_1=\frac1{\sqrt\pi}G^{3,0}_{1,3}\left(^{3/2-n}_{0,1/2,1/2};(\ln(2)n)^2\right)$

Published on 27 Mar 2026 - 15:20

score 24 · Answer 10 · 2024-03-28 22:47:59

24

Views

relationship between ${}_1F_1(a,1,x)$ and ${}_1F_1(b,1/2,x)$

Published on 28 Mar 2024 - 22:47

score 26 · Answer 11 · 2026-03-26 09:42:49

26

Views

Integral of product of Legendre polynomial and exponential function

Published on 26 Mar 2026 - 9:42

score 1.8k · Answer 12 · 2026-03-29 22:33:13

1.8k

Views

Changing a sigmoid curve to have an adjustable point of inflection

Published on 29 Mar 2026 - 22:33

score 118 · Answer 13 · 2015-01-03 16:37:22

118

Views

Limit of positive sum is negative? Related to polylgarithm

Published on 03 Jan 2015 - 16:37

score 100 · Answer 14 · 2026-04-04 02:20:46

100

Views

Is it possible to express $\Gamma\!\left(\tfrac{1}{50}\right)$ through values of the $\Gamma$-function at rational points with smaller denominators?

Published on 04 Apr 2026 - 2:20

score 1.3k · Answer 15 · 2015-01-06 16:32:35

1.3k

Views

Intersection of functions $\ln(x)$ and $\frac{1}{x}$

Published on 06 Jan 2015 - 16:32

List Question

A sum resembling binomial distribution

$\log \Gamma(z + 1) = \log \Gamma (z) + \log z$ issue

Why do we want these properties to be in the extended factorial function?

Evaluating the limit of a function involving exponential and hypergeometric functions as it approaches infinity.

Are there alternatives functions for the gamma function that was used as generalisation for the factorials?

Integration of hypergeometric function on complex plane

set of orthogonal quasiperiodic functions

Solve the second order equation $u^{\prime \prime}(t)=\frac{16 t\left(\beta t^3-27\right)}{81 \beta} u(t)$

Reduce $\frac{d^{n-1}}{dw^{n-1}}\frac{4^{-n/{\sqrt w}}}{\sqrt w}\Big|_1=\frac1{\sqrt\pi}G^{3,0}_{1,3}\left(^{3/2-n}_{0,1/2,1/2};(\ln(2)n)^2\right)$

relationship between ${}_1F_1(a,1,x)$ and ${}_1F_1(b,1/2,x)$

Integral of product of Legendre polynomial and exponential function

Changing a sigmoid curve to have an adjustable point of inflection

Limit of positive sum is negative? Related to polylgarithm

Is it possible to express $\Gamma\!\left(\tfrac{1}{50}\right)$ through values of the $\Gamma$-function at rational points with smaller denominators?

Intersection of functions $\ln(x)$ and $\frac{1}{x}$

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