Question

Bound on Gamma Function

score 206 · Answer 1 · 2017-04-21 18:07:16

206

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Bound on Gamma Function

Published on 21 Apr 2017 - 18:07

score 166 · Answer 2 · 2017-04-21 20:18:28

166

Views

Asymptotic expansion of ratio of two gamma function

Published on 21 Apr 2017 - 20:18

score 300 · Answer 3 · 2017-04-23 18:25:01

300

Views

Iterated Gamma Function special value

Published on 23 Apr 2017 - 18:25

score 2.1k · Answer 4 · 2026-03-27 19:52:35

2.1k

Views

Express this Integral in terms of the Beta Function

Published on 27 Mar 2026 - 19:52

score 85 · Answer 5 · 2017-04-24 17:33:24

85

Views

Gamma function for $0 < n < 1$

Published on 24 Apr 2017 - 17:33

score 50 · Answer 6 · 2017-04-25 09:19:52

50

Views

Reverse engineer the gamma question from a typo $\int_0^1(\ln1/x)^{1/3}$dx and the answer $\Gamma(4/3)$

Published on 25 Apr 2017 - 9:19

score 1k · Answer 7 · 2017-04-26 07:06:51

1k

Views

Prove that $\Gamma(-m+\frac{1}{2})=\frac{(-1)^m 2^{2m}\sqrt{\pi}m!}{(2m)!}$

Published on 26 Apr 2017 - 7:06

score 71 · Answer 8 · 2017-05-02 07:25:40

71

Views

Comparing $(n-1)!$ to $\frac{\left(n+\frac{2n}{3}\right)!}{n!}$

Published on 02 May 2017 - 7:25

score 60 · Answer 9 · 2017-05-02 15:30:08

Comparing $\frac{\left(n+\left\lfloor\frac{2n}{3}\right\rfloor\right)!}{n!}$ to $\frac{(2n)!}{\left(2n-\left\lfloor\frac{n}{3}\right\rfloor\right)!}$

score 1.2k · Answer 10 · 2017-05-07 12:43:58

1.2k

Views

A question relating trigonometric integrals with gamma function

Published on 07 May 2017 - 12:43

score 914 · Answer 11 · 2017-05-08 21:14:16

914

Views

Prove $-\int_0^1x^k\ln x \ dx = \frac{1}{(k+1)^2}$ using the gamma function

Published on 08 May 2017 - 21:14

score 4.2k · Answer 12 · 2017-05-08 21:18:34

4.2k

Views

Prove that $\int_0^\infty e^{-x^4}\ dx = \Gamma\left(\frac{5}{4}\right) = \left(\frac{1}{4}\right)!$ using the gamma function

Published on 08 May 2017 - 21:18

score 73 · Answer 13 · 2017-05-09 19:09:16

73

Views

What's the smallest angle between contact points between hypersphere and enclosing hypercube?

Published on 09 May 2017 - 19:09

score 264 · Answer 14 · 2017-05-10 07:53:19

264

Views

Is this product of Gamma functions bounded?

Published on 10 May 2017 - 7:53

score 103 · Answer 15 · 2017-05-10 23:33:33

103

Views

Prove $(-2s-1)!! = \frac{(-1)^s}{(2s-1)!!} = \frac{(-1)^s2^ss!}{(2s)!}$ (maybe using Gamma function)

Published on 10 May 2017 - 23:33

List Question

Bound on Gamma Function

Asymptotic expansion of ratio of two gamma function

Iterated Gamma Function special value

Express this Integral in terms of the Beta Function

Gamma function for $0 < n < 1$

Reverse engineer the gamma question from a typo $\int_0^1(\ln1/x)^{1/3}$dx and the answer $\Gamma(4/3)$

Prove that $\Gamma(-m+\frac{1}{2})=\frac{(-1)^m 2^{2m}\sqrt{\pi}m!}{(2m)!}$

Comparing $(n-1)!$ to $\frac{\left(n+\frac{2n}{3}\right)!}{n!}$

Comparing $\frac{\left(n+\left\lfloor\frac{2n}{3}\right\rfloor\right)!}{n!}$ to $\frac{(2n)!}{\left(2n-\left\lfloor\frac{n}{3}\right\rfloor\right)!}$

A question relating trigonometric integrals with gamma function

Prove $-\int_0^1x^k\ln x \ dx = \frac{1}{(k+1)^2}$ using the gamma function

Prove that $\int_0^\infty e^{-x^4}\ dx = \Gamma\left(\frac{5}{4}\right) = \left(\frac{1}{4}\right)!$ using the gamma function

What's the smallest angle between contact points between hypersphere and enclosing hypercube?

Is this product of Gamma functions bounded?

Prove $(-2s-1)!! = \frac{(-1)^s}{(2s-1)!!} = \frac{(-1)^s2^ss!}{(2s)!}$ (maybe using Gamma function)

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