Question

Similarity between $e^x$ power series and Gamma function integral?

score 101 · Answer 1 · 2026-03-26 15:16:35

101

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Similarity between $e^x$ power series and Gamma function integral?

Published on 26 Mar 2026 - 15:16

score 297 · Answer 2 · 2019-03-13 00:17:16

297

Views

Proving that $\Gamma(\frac{1}{2})=\sqrt(\pi)$ using the expected value of standard normal variable (integral calculation)

Published on 13 Mar 2019 - 0:17

score 228 · Answer 3 · 2019-03-15 05:15:47

228

Views

Prove that $\int_0^\infty e^{-x} \ln x d x = - \gamma $

Published on 15 Mar 2019 - 5:15

score 62 · Answer 4 · 2026-03-25 06:13:09

62

Views

Simplify $\lim_{n \to \infty}\frac{(1-A)(1-B)}{(2-A-B)(A-B)}=\frac{\gamma(\gamma-1)}{2\gamma-1}?$

Published on 25 Mar 2026 - 6:13

score 66 · Answer 5 · 2019-03-22 16:00:41

66

Views

Solving $1=\Gamma\left(\frac{d}{2}\right)-\Gamma\left(\frac{d}{2}, 2t \right)$

Published on 22 Mar 2019 - 16:00

score 730 · Answer 6 · 2026-03-25 06:19:25

730

Views

Application of Legendre's duplication formula

Published on 25 Mar 2026 - 6:19

score 229 · Answer 7 · 2019-03-24 22:35:49

229

Views

What is $\int_0^\infty \log\left(\Gamma(x)\right)e^{-sx}dx$?

Published on 24 Mar 2019 - 22:35

score 70 · Answer 8 · 2019-03-25 14:34:57

70

Views

Is the Gamma function defined by $\int_{0}^\infty e^{-t}t^{z-1}\,\,dt?$

Published on 25 Mar 2019 - 14:34

score 280 · Answer 9 · 2019-03-27 09:49:34

280

Views

Why is the Gamma function defined by the definite integral for $\Re(z) >0$?

Published on 27 Mar 2019 - 9:49

score 114 · Answer 10 · 2026-03-26 15:17:15

114

Views

inequality for ratio of Gamma functions

Published on 26 Mar 2026 - 15:17

score 45 · Answer 11 · 2019-03-29 14:36:47

45

Views

Taylor series error?

Published on 29 Mar 2019 - 14:36

score 170 · Answer 12 · 2026-03-25 09:40:01

170

Views

closed form of the following integral :$\int_{0}^{\infty}- \sqrt{x}+ \sqrt{x}\coth (x) dx$?

Published on 25 Mar 2026 - 9:40

score 43 · Answer 13 · 2019-03-30 21:16:58

43

Views

Ratio of Gamma function equality.

Published on 30 Mar 2019 - 21:16

score 103 · Answer 14 · 2019-03-31 11:30:29

103

Views

$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Published on 31 Mar 2019 - 11:30

score 27 · Answer 15 · 2019-04-03 11:37:18

27

Views

Integral Representation of different Gamma-Functions

Published on 03 Apr 2019 - 11:37

List Question

Similarity between $e^x$ power series and Gamma function integral?

Proving that $\Gamma(\frac{1}{2})=\sqrt(\pi)$ using the expected value of standard normal variable (integral calculation)

Prove that $\int_0^\infty e^{-x} \ln x d x = - \gamma $

Simplify $\lim_{n \to \infty}\frac{(1-A)(1-B)}{(2-A-B)(A-B)}=\frac{\gamma(\gamma-1)}{2\gamma-1}?$

Solving $1=\Gamma\left(\frac{d}{2}\right)-\Gamma\left(\frac{d}{2}, 2t \right)$

Application of Legendre's duplication formula

What is $\int_0^\infty \log\left(\Gamma(x)\right)e^{-sx}dx$?

Is the Gamma function defined by $\int_{0}^\infty e^{-t}t^{z-1}\,\,dt?$

Why is the Gamma function defined by the definite integral for $\Re(z) >0$?

inequality for ratio of Gamma functions

Taylor series error?

closed form of the following integral :$\int_{0}^{\infty}- \sqrt{x}+ \sqrt{x}\coth (x) dx$?

Ratio of Gamma function equality.

$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Integral Representation of different Gamma-Functions

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