Question

Gaussian convolution of a multivariate Airy function

score 34 · Answer 1 · 2024-01-16 16:52:32

34

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Gaussian convolution of a multivariate Airy function

Published on 16 Jan 2024 - 16:52

score 172 · Answer 2 · 2015-10-25 18:23:11

172

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Reference to proof of closed form for of $\zeta_{\text{Ai}}(2)$

Published on 25 Oct 2015 - 18:23

score 411 · Answer 3 · 2016-01-05 09:54:53

411

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How to solve this integral $\int _0^{\infty} e^{-x^3+2x^2+1}\,\mathrm{d}x$

Published on 05 Jan 2016 - 9:54

score 499 · Answer 4 · 2016-01-10 10:26:27

499

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Airy transform of gaussian on half-line: $\int_{0}^\infty dx\, e^{-x^2}\text{Ai}(y-x)$

Published on 10 Jan 2016 - 10:26

score 295 · Answer 5 · 2016-01-11 03:02:46

295

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Seem to be encountering many interesting results from integrals in the form: $\int_0^\infty \frac{f(a,x)}{e^{2\pi x}-1}\text{d}x$

Published on 11 Jan 2016 - 3:02

score 487 · Answer 6 · 2016-02-21 23:07:02

487

Views

Solving differential equation by transform with contour integral

Published on 21 Feb 2016 - 23:07

score 167 · Answer 7 · 2016-02-24 07:28:55

167

Views

Series Solutions for Differential Equation (similar to Airy function)

Published on 24 Feb 2016 - 7:28

score 1.7k · Answer 8 · 2016-06-14 02:58:31

1.7k

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Deriving the Airy functions from first principles

Published on 14 Jun 2016 - 2:58

score 121 · Answer 9 · 2017-05-07 20:43:12

121

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On the integral $\int_0^\infty\left\{ x \right\}\operatorname{Ai}(x)\,dx$, related to the Airy function $\operatorname{Ai}(x)$

Published on 07 May 2017 - 20:43

score 247 · Answer 10 · 2017-05-17 19:35:49

247

Views

Airy function and expansions

Published on 17 May 2017 - 19:35

score 173 · Answer 11 · 2017-06-01 20:06:57

173

Views

Show there are an infinite amount of roots to the Airy equation

Published on 01 Jun 2017 - 20:06

score 906 · Answer 12 · 2017-06-20 17:16:05

906

Views

Solution to ODE: integral form of Airy equation

Published on 20 Jun 2017 - 17:16

score 2.3k · Answer 13 · 2017-06-22 15:53:07

2.3k

Views

Integrate Airy function from 0 to $\infty$

Published on 22 Jun 2017 - 15:53

score 98 · Answer 14 · 2017-10-01 14:39:26

98

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Is the function $\frac{\operatorname{Harmonic}(x)}{\operatorname{Airy}(x)}$ a convex function for real numbers $0<x<1$?

Published on 01 Oct 2017 - 14:39

score 251 · Answer 15 · 2017-10-06 21:34:38

251

Views

A guide to justify the calculation of $\operatorname{Ai}'(0)$: differentiation under the integral sign

Published on 06 Oct 2017 - 21:34

List Question

Gaussian convolution of a multivariate Airy function

Reference to proof of closed form for of $\zeta_{\text{Ai}}(2)$

How to solve this integral $\int _0^{\infty} e^{-x^3+2x^2+1}\,\mathrm{d}x$

Airy transform of gaussian on half-line: $\int_{0}^\infty dx\, e^{-x^2}\text{Ai}(y-x)$

Seem to be encountering many interesting results from integrals in the form: $\int_0^\infty \frac{f(a,x)}{e^{2\pi x}-1}\text{d}x$

Solving differential equation by transform with contour integral

Series Solutions for Differential Equation (similar to Airy function)

Deriving the Airy functions from first principles

On the integral $\int_0^\infty\left\{ x \right\}\operatorname{Ai}(x)\,dx$, related to the Airy function $\operatorname{Ai}(x)$

Airy function and expansions

Show there are an infinite amount of roots to the Airy equation

Solution to ODE: integral form of Airy equation

Integrate Airy function from 0 to $\infty$

Is the function $\frac{\operatorname{Harmonic}(x)}{\operatorname{Airy}(x)}$ a convex function for real numbers $0<x<1$?

A guide to justify the calculation of $\operatorname{Ai}'(0)$: differentiation under the integral sign

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