Question

Evaluating a Gaussian integral on $\mathbb{R}^{n}$.

score 598 · Answer 1 · 2016-06-30 17:58:14

598

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Evaluating a Gaussian integral on $\mathbb{R}^{n}$.

Published on 30 Jun 2016 - 17:58

score 27 · Answer 2 · 2016-07-01 00:59:30

27

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condition for a binary quadratic form to be positive at infinity

Published on 01 Jul 2016 - 0:59

score 371 · Answer 3 · 2026-03-26 10:57:35

371

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Multivariable Integral, How to compute it?

Published on 26 Mar 2026 - 10:57

score 235 · Answer 4 · 2026-03-26 13:51:30

235

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How do we prove this conjecture $\int_{0}^{\infty}e^{-\sqrt{x}}\ln{\left(1+{1\over \sqrt{x}}\right)}=2\gamma ?$

Published on 26 Mar 2026 - 13:51

score 335 · Answer 5 · 2017-04-10 19:13:47

335

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Prove that $9\int_{0}^{\infty}x^5e^{-x^3}\ln(1+x)dx=\Gamma\left({1\over 3}\right)-\Gamma\left({2\over 3}\right)+\Gamma\left({3\over 3}\right)?$

Published on 10 Apr 2017 - 19:13

score 246 · Answer 6 · 2017-04-12 22:42:28

246

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Limit as n-> infinity of Integral of Gaussian Multiplied by Polynomial of Order n

Published on 12 Apr 2017 - 22:42

score 254 · Answer 7 · 2017-04-13 08:17:00

254

Views

How to prove that $\int_{-\infty}^{+\infty}xe^{-{\pi\over 4}x^2}{\sinh^2(3\pi x)\over \sinh(\pi x)}dx=4\left(e^{\pi}+3e^{9\pi}+5e^{25\pi}\right)?$

Published on 13 Apr 2017 - 8:17

score 63 · Answer 8 · 2017-04-18 02:25:19

63

Views

Integrating Gaussian function

Published on 18 Apr 2017 - 2:25

score 157 · Answer 9 · 2017-04-23 09:58:23

157

Views

Linearize exponent using Gaussian Integral

Published on 23 Apr 2017 - 9:58

score 110 · Answer 10 · 2017-04-28 04:26:15

110

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How is this composite Gaussian Distribution derivated?

Published on 28 Apr 2017 - 4:26

score 183 · Answer 11 · 2017-04-29 12:38:16

183

Views

evaluate this integral using gauss's divergence theorem

Published on 29 Apr 2017 - 12:38

score 164 · Answer 12 · 2017-05-12 04:05:06

164

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How do we evaluate the closed form for $\int_{-\infty}^{+\infty}{(-1)^{n+1}x^{2n}+2n+1\over (1+x^2)^2}\cdot e^{-x^2}\mathrm dx?$

Published on 12 May 2017 - 4:05

score 177 · Answer 13 · 2026-03-27 18:00:06

177

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How do one evaluate the following Gaussian complex integral with complex coefficients in exponentials?

Published on 27 Mar 2026 - 18:00

score 61 · Answer 14 · 2017-05-22 07:12:57

61

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Space generated by Gaussian functions

Published on 22 May 2017 - 7:12

score 70 · Answer 15 · 2017-05-25 13:51:28

70

Views

How to evaluate the following gaussian complex integral?

Published on 25 May 2017 - 13:51

List Question

Evaluating a Gaussian integral on $\mathbb{R}^{n}$.

condition for a binary quadratic form to be positive at infinity

Multivariable Integral, How to compute it?

How do we prove this conjecture $\int_{0}^{\infty}e^{-\sqrt{x}}\ln{\left(1+{1\over \sqrt{x}}\right)}=2\gamma ?$

Prove that $9\int_{0}^{\infty}x^5e^{-x^3}\ln(1+x)dx=\Gamma\left({1\over 3}\right)-\Gamma\left({2\over 3}\right)+\Gamma\left({3\over 3}\right)?$

Limit as n-> infinity of Integral of Gaussian Multiplied by Polynomial of Order n

How to prove that $\int_{-\infty}^{+\infty}xe^{-{\pi\over 4}x^2}{\sinh^2(3\pi x)\over \sinh(\pi x)}dx=4\left(e^{\pi}+3e^{9\pi}+5e^{25\pi}\right)?$

Integrating Gaussian function

Linearize exponent using Gaussian Integral

How is this composite Gaussian Distribution derivated?

evaluate this integral using gauss's divergence theorem

How do we evaluate the closed form for $\int_{-\infty}^{+\infty}{(-1)^{n+1}x^{2n}+2n+1\over (1+x^2)^2}\cdot e^{-x^2}\mathrm dx?$

How do one evaluate the following Gaussian complex integral with complex coefficients in exponentials?

Space generated by Gaussian functions

How to evaluate the following gaussian complex integral?

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