List questions from gaussian-integral

Published on 19 Jan 2024 - 20:42

56

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Gaussian integral of squared shifted error function

Published on 22 Jan 2024 - 17:49

26

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Propagating gaussian wavepacket

Published on 23 Jan 2024 - 1:38

31

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$\int x^2\exp(-x^2/2\sigma^2)\rho(x)dx\leq C\sigma^2 \int\exp(-x^2/2\sigma^2)\rho(x)dx$

Published on 24 Jan 2024 - 14:49

180

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Fourier Transform of Gaussian with imaginary pole

Published on 26 Jan 2024 - 9:35

24

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Relation between Gaussian integral and Kummer's hypergeometric function

Published on 07 Feb 2024 - 22:45

100

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Gaussian integral with complex coefficients

Published on 08 Feb 2024 - 11:26

78

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Non-zero expectation of $p(z)^kz$ for non-even univariate polynomial $p$ with Gaussian variable $z$.

Published on 25 Mar 2026 - 13:13

59

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Is there a simple way to evaluate the integral $\int_{\mathbb{R}^n} \delta(x_1^2+\dots+x_n^2-y)\text{d}x_1\dots\text{d}x_n$?

Published on 10 Feb 2024 - 0:11

73

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$\int_{\mathbb{R}^2} e^{-(x^2+y^2)}=[\int_{\mathbb{R}} e^{-x^2}]^2,$ provided the first of these integrals exists. Munkres Analysis on Manifolds

Published on 01 Mar 2024 - 2:17

32

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Radon Transform of Gaussian function

Published on 22 Mar 2026 - 12:39

60

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Conditions under which the integral of an exponential function over $\mathbb{R}^k$ is finite

Published on 07 Mar 2024 - 15:37

103

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Mean log determinant of a random Gaussian matrix

Published on 18 Mar 2024 - 15:24

31

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Integrating a product of Gaussians by hand

Published on 21 Mar 2024 - 0:47

22

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Integral of a product divded by a sum of Gaussian PDFs

Published on 21 Mar 2024 - 12:10

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$\left(-\frac{1}{2}\right)!$ from the Hypersphere

Gaussian integral of squared shifted error function

Propagating gaussian wavepacket

$\int x^2\exp(-x^2/2\sigma^2)\rho(x)dx\leq C\sigma^2 \int\exp(-x^2/2\sigma^2)\rho(x)dx$

Fourier Transform of Gaussian with imaginary pole

Relation between Gaussian integral and Kummer's hypergeometric function

Gaussian integral with complex coefficients

Non-zero expectation of $p(z)^kz$ for non-even univariate polynomial $p$ with Gaussian variable $z$.

Is there a simple way to evaluate the integral $\int_{\mathbb{R}^n} \delta(x_1^2+\dots+x_n^2-y)\text{d}x_1\dots\text{d}x_n$?

$\int_{\mathbb{R}^2} e^{-(x^2+y^2)}=[\int_{\mathbb{R}} e^{-x^2}]^2,$ provided the first of these integrals exists. Munkres Analysis on Manifolds

Radon Transform of Gaussian function

Conditions under which the integral of an exponential function over $\mathbb{R}^k$ is finite

Mean log determinant of a random Gaussian matrix

Integrating a product of Gaussians by hand

Integral of a product divded by a sum of Gaussian PDFs

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