Question

Limit Ratio of Gamma Functions

score 166 · Answer 1 · 2026-04-04 03:52:42

166

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Limit Ratio of Gamma Functions

Published on 04 Apr 2026 - 3:52

score 154 · Answer 2 · 2015-11-23 22:40:45

154

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Alternative definition of Gamma function. Show that $ \lim_{n \to \infty} \frac{n! \; n^m}{m \times (m+1) \times \dots \times (m+n)} = (m-1)!$

Published on 23 Nov 2015 - 22:40

score 316 · Answer 3 · 2015-11-29 22:22:03

316

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Leading order of behavior of nth derivative of Gamma function evaluated at x=1 as n approaches infinity

Published on 29 Nov 2015 - 22:22

score 135 · Answer 4 · 2015-11-30 11:01:16

135

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Non trivial sum involving Gamma functions and hypergeometric

Published on 30 Nov 2015 - 11:01

score 139 · Answer 5 · 2015-11-30 16:36:34

139

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proof the derivate of gamma function using the limit definition

Published on 30 Nov 2015 - 16:36

score 986 · Answer 6 · 2015-11-30 21:53:34

986

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gamma function with negative argument

Published on 30 Nov 2015 - 21:53

score 1k · Answer 7 · 2015-12-01 11:15:57

1k

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How do I express $\int_0^{\frac{\pi}{2}}\sin^{2m-1}\left(t\right)\cos^{2n-1}(t)dt$ using the Gamma-function?

Published on 01 Dec 2015 - 11:15

score 24 · Answer 8 · 2015-12-01 12:00:18

24

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Gamma function, showing identity of terms

Published on 01 Dec 2015 - 12:00

score 195 · Answer 9 · 2015-12-01 12:10:50

195

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prove an identity of gamma function

Published on 01 Dec 2015 - 12:10

score 60 · Answer 10 · 2026-03-30 03:53:42

60

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Pole part of gamma function

Published on 30 Mar 2026 - 3:53

score 73 · Answer 11 · 2026-04-04 15:21:40

73

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Is it possible to compute $\Gamma(\rho_k)$ or $\zeta(3+2\omega_k)$, when $\rho_k=\frac{1}{2}+i\omega_k$ is a nontrivial zero of Riemann zeta function?

Published on 04 Apr 2026 - 15:21

score 7.2k · Answer 12 · 2026-03-26 12:47:54

7.2k

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Find the Laplace transform of the Gamma pdf

Published on 26 Mar 2026 - 12:47

score 449 · Answer 13 · 2015-12-07 19:07:30

$\frac{\Gamma(\frac{n_T + n_C - 2}{2})}{\sqrt{\frac{n_T+n_C-2}{2}}\Gamma\left(\frac{n_T+n_C-3}{2}\right)} \approx 1 - \frac{3}{4(n_T+n_C+2)-1}$

score 446 · Answer 14 · 2026-04-04 06:58:54

446

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(Ab)using the factorial and gamma functions

Published on 04 Apr 2026 - 6:58

score 107 · Answer 15 · 2015-12-13 14:26:01

107

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Calculate $‎\lim‎_{ ‎r\rightarrow ‎\infty‎}‎‎\frac{\Gamma(r\alpha)}{\Gamma((r+1)\alpha)}‎‎$

Published on 13 Dec 2015 - 14:26

List Question

Limit Ratio of Gamma Functions

Alternative definition of Gamma function. Show that $ \lim_{n \to \infty} \frac{n! \; n^m}{m \times (m+1) \times \dots \times (m+n)} = (m-1)!$

Leading order of behavior of nth derivative of Gamma function evaluated at x=1 as n approaches infinity

Non trivial sum involving Gamma functions and hypergeometric

proof the derivate of gamma function using the limit definition

gamma function with negative argument

How do I express $\int_0^{\frac{\pi}{2}}\sin^{2m-1}\left(t\right)\cos^{2n-1}(t)dt$ using the Gamma-function?

Gamma function, showing identity of terms

prove an identity of gamma function

Pole part of gamma function

Is it possible to compute $\Gamma(\rho_k)$ or $\zeta(3+2\omega_k)$, when $\rho_k=\frac{1}{2}+i\omega_k$ is a nontrivial zero of Riemann zeta function?

Find the Laplace transform of the Gamma pdf

$\frac{\Gamma(\frac{n_T + n_C - 2}{2})}{\sqrt{\frac{n_T+n_C-2}{2}}\Gamma\left(\frac{n_T+n_C-3}{2}\right)} \approx 1 - \frac{3}{4(n_T+n_C+2)-1}$

(Ab)using the factorial and gamma functions

Calculate $‎\lim‎_{ ‎r\rightarrow ‎\infty‎}‎‎\frac{\Gamma(r\alpha)}{\Gamma((r+1)\alpha)}‎‎$

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