Question

Is there any close form solution possible for the following integral?

score 70 · Answer 1 · 2016-12-07 02:28:49

70

Views

Is there any close form solution possible for the following integral?

Published on 07 Dec 2016 - 2:28

score 452 · Answer 2 · 2016-12-07 10:50:58

452

Views

Interesting limit involving gamma function

Published on 07 Dec 2016 - 10:50

score 112 · Answer 3 · 2026-03-29 16:50:08

112

Views

Find $\prod_{n=1}^\infty\frac{(4n-3)(4n+1)}{(4n-1)^2}$

Published on 29 Mar 2026 - 16:50

score 154 · Answer 4 · 2026-03-25 17:19:50

154

Views

Half derivative of $e_{\alpha} = \frac{x^{\alpha - 1}}{\Gamma(\alpha)}$

Published on 25 Mar 2026 - 17:19

score 217 · Answer 5 · 2026-03-28 12:02:22

217

Views

On the Sequences of Gamma & Zeta Limits

Published on 28 Mar 2026 - 12:02

score 134 · Answer 6 · 2026-03-29 17:11:47

134

Views

Is there a known transformation between $_2F_1\big(\tfrac12,\tfrac12;1;z\big)$ and $_2F_1\big(\tfrac12,\tfrac12;1;z^2\big)$?

Published on 29 Mar 2026 - 17:11

score 407 · Answer 7 · 2016-12-19 14:59:59

407

Views

An arctan exponential integral

Published on 19 Dec 2016 - 14:59

score 787 · Answer 8 · 2016-12-20 12:38:58

787

Views

Proving $\ln \lambda = \int_0^\infty \frac{\mathrm dt}t e^{-\lambda t}$

Published on 20 Dec 2016 - 12:38

score 59 · Answer 9 · 2016-12-23 00:00:39

59

Views

Proof of $\frac{\Gamma(k+b)}{\Gamma(k)\Gamma(b+1)} = \frac{k^b}{\Gamma(b+1)}\left(1+O\!\left(\frac1k\right)\right)$

Published on 23 Dec 2016 - 0:00

score 444 · Answer 10 · 2026-03-25 23:36:56

444

Views

approximation for $\Gamma (\alpha) / \Gamma (\beta) $ where $\alpha$ and $\beta$ are arbitrary numbers in $R^{+}$

Published on 25 Mar 2026 - 23:36

score 312 · Answer 11 · 2016-12-26 09:32:13

312

Views

Gamma function approximation

Published on 26 Dec 2016 - 9:32

score 490 · Answer 12 · 2016-12-26 10:11:20

490

Views

What is the time complexity of this algorithm?

Published on 26 Dec 2016 - 10:11

score 962 · Answer 13 · 2026-03-25 12:54:45

962

Views

Solve the system of equations in the maximum likelihood estimation of Gamma distribution parameters

Published on 25 Mar 2026 - 12:54

score 236 · Answer 14 · 2026-03-25 12:54:57

236

Views

Deriving expansions of upper incomplete gamma functions $\Gamma (-n,z)$

Published on 25 Mar 2026 - 12:54

score 99 · Answer 15 · 2016-12-28 04:02:43

99

Views

What is wrong with my evaluation of $\sqrt{\frac{2}{\pi}}\int_{-\infty}^{\infty} e^\frac{-z^2}{2}dz$?

Published on 28 Dec 2016 - 4:02

List Question

Is there any close form solution possible for the following integral?

Interesting limit involving gamma function

Find $\prod_{n=1}^\infty\frac{(4n-3)(4n+1)}{(4n-1)^2}$

Half derivative of $e_{\alpha} = \frac{x^{\alpha - 1}}{\Gamma(\alpha)}$

On the Sequences of Gamma & Zeta Limits

Is there a known transformation between $_2F_1\big(\tfrac12,\tfrac12;1;z\big)$ and $_2F_1\big(\tfrac12,\tfrac12;1;z^2\big)$?

An arctan exponential integral

Proving $\ln \lambda = \int_0^\infty \frac{\mathrm dt}t e^{-\lambda t}$

Proof of $\frac{\Gamma(k+b)}{\Gamma(k)\Gamma(b+1)} = \frac{k^b}{\Gamma(b+1)}\left(1+O\!\left(\frac1k\right)\right)$

approximation for $\Gamma (\alpha) / \Gamma (\beta) $ where $\alpha$ and $\beta$ are arbitrary numbers in $R^{+}$

Gamma function approximation

What is the time complexity of this algorithm?

Solve the system of equations in the maximum likelihood estimation of Gamma distribution parameters

Deriving expansions of upper incomplete gamma functions $\Gamma (-n,z)$

What is wrong with my evaluation of $\sqrt{\frac{2}{\pi}}\int_{-\infty}^{\infty} e^\frac{-z^2}{2}dz$?

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