Question

Convexity of a family of functions

score 28 · Answer 1 · 2024-02-24 17:44:48

28

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Convexity of a family of functions

Published on 24 Feb 2024 - 17:44

score 196 · Answer 2 · 2026-03-29 07:29:01

196

Views

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

Published on 29 Mar 2026 - 7:29

score 38 · Answer 3 · 2024-03-03 14:44:40

38

Views

How to evaluate an integral involving incomplete gamma , exponential and power functions?

Published on 03 Mar 2024 - 14:44

score 86 · Answer 4 · 2024-03-05 00:38:42

86

Views

Expansion of Gamma function at half integers, around an integer

Published on 05 Mar 2024 - 0:38

score 24 · Answer 5 · 2026-03-29 15:36:45

24

Views

Sum of Meijer G-functions with index in the arguments

Published on 29 Mar 2026 - 15:36

score 191 · Answer 6 · 2026-03-26 17:35:40

191

Views

An integral related to $\Gamma(\tfrac14)^2$

Published on 26 Mar 2026 - 17:35

score 71 · Answer 7 · 2024-03-10 02:51:39

71

Views

Is the bound $\Gamma(\alpha, x) \leq \tfrac{3}{2} e^{-x} (x + \alpha )^{\alpha - 1}$ valid for all $x > 0$ and $\alpha \geq 0$?

Published on 10 Mar 2024 - 2:51

score 61 · Answer 8 · 2026-04-03 21:28:58

61

Views

Why do the constants $\gamma$, $\zeta(2)$ and $\zeta(3)$ appear in the values of $\Gamma''(1)$ and $\Gamma'''(1)$?

Published on 03 Apr 2026 - 21:28

score 49 · Answer 9 · 2024-03-11 03:46:41

49

Views

Properties of the Gamma function?

Published on 11 Mar 2024 - 3:46

score 40 · Answer 10 · 2024-03-17 23:35:32

40

Views

Integration Involving Exponential Integral and Gamma Function

Published on 17 Mar 2024 - 23:35

score 44 · Answer 11 · 2024-03-18 22:36:27

44

Views

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

Published on 18 Mar 2024 - 22:36

score 56 · Answer 12 · 2024-03-20 02:24:45

56

Views

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

Published on 20 Mar 2024 - 2:24

score 106 · Answer 13 · 2024-03-20 13:49:04

106

Views

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

Published on 20 Mar 2024 - 13:49

score 127 · Answer 14 · 2026-03-29 09:18:44

127

Views

A new formula for $\pi$ using cheated Bernstein's polynomials with composition and Gamma function?

Published on 29 Mar 2026 - 9:18

score 94 · Answer 15 · 2024-03-30 18:24:29

94

Views

A series involving Gamma function: $\frac{1}{\Gamma(x)}=\sum_{k=1}^\infty \frac{kx^k}{\Gamma(k+1+x)}$

Published on 30 Mar 2024 - 18:24

List Question

Convexity of a family of functions

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

How to evaluate an integral involving incomplete gamma , exponential and power functions?

Expansion of Gamma function at half integers, around an integer

Sum of Meijer G-functions with index in the arguments

An integral related to $\Gamma(\tfrac14)^2$

Is the bound $\Gamma(\alpha, x) \leq \tfrac{3}{2} e^{-x} (x + \alpha )^{\alpha - 1}$ valid for all $x > 0$ and $\alpha \geq 0$?

Why do the constants $\gamma$, $\zeta(2)$ and $\zeta(3)$ appear in the values of $\Gamma''(1)$ and $\Gamma'''(1)$?

Properties of the Gamma function?

Integration Involving Exponential Integral and Gamma Function

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

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

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

A new formula for $\pi$ using cheated Bernstein's polynomials with composition and Gamma function?

A series involving Gamma function: $\frac{1}{\Gamma(x)}=\sum_{k=1}^\infty \frac{kx^k}{\Gamma(k+1+x)}$

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