Question

$\int^{2\pi}_0 i\sin(x\sin \theta -n\theta) d\theta$

score 79 · Answer 1 · 2021-12-13 21:53:48

79

Views

$\int^{2\pi}_0 i\sin(x\sin \theta -n\theta) d\theta$

Published on 13 Dec 2021 - 21:53

score 142 · Answer 2 · 2021-12-14 04:03:22

142

Views

Small $x$ expansion of integral (maybe?) related to Bessel functions

Published on 14 Dec 2021 - 4:03

score 142 · Answer 3 · 2021-12-14 19:29:14

142

Views

Integral definition of Bessel function is equivalent to power series representation

Published on 14 Dec 2021 - 19:29

score 104 · Answer 4 · 2021-12-15 13:31:23

104

Views

$\int_{-\pi}^\pi e^{-\sin^2(x) - A\sin^2(nx)}dx$ for an integer n

Published on 15 Dec 2021 - 13:31

score 65 · Answer 5 · 2021-12-16 09:14:01

65

Views

How to prove this Bessel equality?

Published on 16 Dec 2021 - 9:14

score 152 · Answer 6 · 2021-12-16 11:08:24

152

Views

Simplification of a sum of Bessel functions

Published on 16 Dec 2021 - 11:08

score 17 · Answer 7 · 2026-03-27 18:07:51

17

Views

Stationnay profile for diffusion-consumption equation in 2 dimensions with a point source

Published on 27 Mar 2026 - 18:07

score 112 · Answer 8 · 2021-12-17 17:43:48

I have an equation derived from Ising model for the correlation distance. Is there a way to rewrite this integral to make in manageable?

score 324 · Answer 9 · 2021-12-20 19:15:32

324

Views

$\sum _{m=0}^{\infty} \frac{b^m }{(m!)^2}K_{m+\frac{1}{2}}(a)$ with Bessel K

Published on 20 Dec 2021 - 19:15

score 82 · Answer 10 · 2021-12-22 21:54:38

82

Views

Closed form for an infinite series involving a product of two Bessel functions

Published on 22 Dec 2021 - 21:54

score 107 · Answer 11 · 2021-12-23 01:14:17

107

Views

Find Spherical Integral: $\int_{\| {\bf x}\|=1} x_1 e^{ {\bf x}^T{\bf y}} {\rm d} {\bf x}$

Published on 23 Dec 2021 - 1:14

score 217 · Answer 12 · 2022-01-01 16:05:33

217

Views

Modified Bessel function of the first kind with purely imaginary index

Published on 01 Jan 2022 - 16:05

score 85 · Answer 13 · 2026-03-30 04:20:41

85

Views

What is $\lim\limits_{n\to\infty} (\text j_{x,x}-\text y_{x,x})$ with the BesselYZero and BesselJZero function?

Published on 30 Mar 2026 - 4:20

score 95 · Answer 14 · 2022-01-05 07:27:13

Calculate: $\int_0^\infty \frac{x}{\lambda}\cdot \exp(-\frac{x+\lambda}{2})\cdot\frac{I_1^2(\sqrt{x\lambda})}{I_0(\sqrt{x\lambda})}dx$

score 50 · Answer 15 · 2022-01-07 19:05:06

50

Views

Recovering an integral from a Fourier transform

Published on 07 Jan 2022 - 19:05

List Question

$\int^{2\pi}_0 i\sin(x\sin \theta -n\theta) d\theta$

Small $x$ expansion of integral (maybe?) related to Bessel functions

Integral definition of Bessel function is equivalent to power series representation

$\int_{-\pi}^\pi e^{-\sin^2(x) - A\sin^2(nx)}dx$ for an integer n

How to prove this Bessel equality?

Simplification of a sum of Bessel functions

Stationnay profile for diffusion-consumption equation in 2 dimensions with a point source

I have an equation derived from Ising model for the correlation distance. Is there a way to rewrite this integral to make in manageable?

$\sum _{m=0}^{\infty} \frac{b^m }{(m!)^2}K_{m+\frac{1}{2}}(a)$ with Bessel K

Closed form for an infinite series involving a product of two Bessel functions

Find Spherical Integral: $\int_{\| {\bf x}\|=1} x_1 e^{ {\bf x}^T{\bf y}} {\rm d} {\bf x}$

Modified Bessel function of the first kind with purely imaginary index

What is $\lim\limits_{n\to\infty} (\text j_{x,x}-\text y_{x,x})$ with the BesselYZero and BesselJZero function?

Calculate: $\int_0^\infty \frac{x}{\lambda}\cdot \exp(-\frac{x+\lambda}{2})\cdot\frac{I_1^2(\sqrt{x\lambda})}{I_0(\sqrt{x\lambda})}dx$

Recovering an integral from a Fourier transform

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