Question

Expression of $\int_{\mathbb S^{n-1}}\, e^{-i\left<v,\omega\right>}\,d\sigma(\omega) = ?$

score 39 · Answer 1 · 2020-05-06 01:10:11

39

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Expression of $\int_{\mathbb S^{n-1}}\, e^{-i\left<v,\omega\right>}\,d\sigma(\omega) = ?$

Published on 06 May 2020 - 1:10

score 176 · Answer 2 · 2020-05-08 18:56:01

176

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Evaluating Sum of Modified Bessel Functions

Published on 08 May 2020 - 18:56

score 304 · Answer 3 · 2020-05-14 01:06:58

304

Views

Sup norm of Fourier transform of $ \frac{\sin |x|}{|x|^\lambda} \mathbb 1_{\{2^k\le |x| <2^{k+1}\}}, \ 0<\lambda<n $

Published on 14 May 2020 - 1:06

score 592 · Answer 4 · 2020-05-14 13:24:23

592

Views

Proof of the Bessel $ J_n $ using the generating function

Published on 14 May 2020 - 13:24

score 81 · Answer 5 · 2020-05-21 12:48:03

81

Views

What is the closed-form of $\int_{0}^{\pi}\text{sin}(n\tau-x\text{sin}\tau)d\tau$

Published on 21 May 2020 - 12:48

score 286 · Answer 6 · 2020-05-22 07:20:18

286

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Asymptotics of the Bessel function $J_\nu(z)$ for $\nu \to \infty$ starting from complex contour representation.

Published on 22 May 2020 - 7:20

score 80 · Answer 7 · 2020-05-22 14:25:04

80

Views

Asymptotics of $\int xdx ~ f(x) J_\nu(x) J_\nu(\alpha x)$ type integral for $\nu \to \infty$

Published on 22 May 2020 - 14:25

score 486 · Answer 8 · 2026-03-28 02:48:57

486

Views

Double integral of product of Bessel functions in Python

Published on 28 Mar 2026 - 2:48

score 71 · Answer 9 · 2020-05-24 16:33:56

71

Views

Fourier transform of $\frac{t}{(a^2+t^2)^{3/2}}$.

Published on 24 May 2020 - 16:33

score 141 · Answer 10 · 2020-06-01 14:30:19

141

Views

How to calculate the following Laplace transform: $ \mathcal{L}[\frac{1-J_0(t)}{t}] $?

Published on 01 Jun 2020 - 14:30

score 72 · Answer 11 · 2020-06-02 01:47:05

72

Views

Showing Bessel integral function is solution of $x^2y''+xy'+(x^2-n^2)y=0$.

Published on 02 Jun 2020 - 1:47

score 139 · Answer 12 · 2020-06-02 08:14:57

139

Views

How to calculate the following Laplace transform: $\mathcal{L}[te^{-3t}J_0(2t)]$?

Published on 02 Jun 2020 - 8:14

score 172 · Answer 13 · 2020-06-13 22:48:23

172

Views

Need help solving a convolution problem involving Bessel function

Published on 13 Jun 2020 - 22:48

score 65 · Answer 14 · 2020-06-15 19:52:01

65

Views

Relation for Bessel functions

Published on 15 Jun 2020 - 19:52

score 123 · Answer 15 · 2020-06-18 17:55:24

123

Views

Integral operator with Bessel kernel

Published on 18 Jun 2020 - 17:55

List Question

Expression of $\int_{\mathbb S^{n-1}}\, e^{-i\left<v,\omega\right>}\,d\sigma(\omega) = ?$

Evaluating Sum of Modified Bessel Functions

Sup norm of Fourier transform of $ \frac{\sin |x|}{|x|^\lambda} \mathbb 1_{\{2^k\le |x| <2^{k+1}\}}, \ 0<\lambda<n $

Proof of the Bessel $ J_n $ using the generating function

What is the closed-form of $\int_{0}^{\pi}\text{sin}(n\tau-x\text{sin}\tau)d\tau$

Asymptotics of the Bessel function $J_\nu(z)$ for $\nu \to \infty$ starting from complex contour representation.

Asymptotics of $\int xdx ~ f(x) J_\nu(x) J_\nu(\alpha x)$ type integral for $\nu \to \infty$

Double integral of product of Bessel functions in Python

Fourier transform of $\frac{t}{(a^2+t^2)^{3/2}}$.

How to calculate the following Laplace transform: $ \mathcal{L}[\frac{1-J_0(t)}{t}] $?

Showing Bessel integral function is solution of $x^2y''+xy'+(x^2-n^2)y=0$.

How to calculate the following Laplace transform: $\mathcal{L}[te^{-3t}J_0(2t)]$?

Need help solving a convolution problem involving Bessel function

Relation for Bessel functions

Integral operator with Bessel kernel

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