Question

Integrating products of BesselJ functions

score 54 · Answer 1 · 2017-12-19 17:54:01

54

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Integrating products of BesselJ functions

Published on 19 Dec 2017 - 17:54

score 578 · Answer 2 · 2017-12-20 13:03:14

578

Views

Relationship between integral of a function and integral of square of function

Published on 20 Dec 2017 - 13:03

score 88 · Answer 3 · 2017-12-23 20:47:37

88

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Obtain a first order DE for a Bessel function of order $n$

Published on 23 Dec 2017 - 20:47

score 420 · Answer 4 · 2017-12-27 11:19:34

420

Views

coupled system of second order ODEs

Published on 27 Dec 2017 - 11:19

score 219 · Answer 5 · 2017-12-27 19:41:15

219

Views

Asymptotic form of the function doesn't satisfy original differential equation

Published on 27 Dec 2017 - 19:41

score 213 · Answer 6 · 2018-01-02 12:00:08

213

Views

Prove that $\frac{d}{dx}(xJ_\alpha(x)J_{\alpha+1}(x))=x(J_\alpha^2(x)-J_{\alpha+1}^2(x))$

Published on 02 Jan 2018 - 12:00

score 1.8k · Answer 7 · 2018-01-03 00:35:47

1.8k

Views

What's the limit of a modified Bessel function of the first kind as the order approaches infinity?

Published on 03 Jan 2018 - 0:35

score 78 · Answer 8 · 2018-01-03 08:41:16

78

Views

Show that $L^{-1}\{(s^2+a^2)^{-\frac{3}{2}}\}=\frac{t}{a}J_1(ax)$

Published on 03 Jan 2018 - 8:41

score 136 · Answer 9 · 2026-02-23 10:06:11

136

Views

Series $\sum_{n=1}^{\infty} \left[K_0\left(\sqrt{[n\beta-it]^2+s^2 }\right)+K_0\left(\sqrt{[n\beta+it]^2+s^2}\right)\right]$

Published on 23 Feb 2026 - 10:06

score 28 · Answer 10 · 2026-03-27 03:49:47

28

Views

Definite integration of bessel function as a function of ρ, φ

Published on 27 Mar 2026 - 3:49

score 112 · Answer 11 · 2018-01-09 00:22:27

112

Views

Does the sum $\sum_{n=1}^{\infty} K_0(nx)$ converge or diverge?

Published on 09 Jan 2018 - 0:22

score 1.6k · Answer 12 · 2018-01-10 20:23:29

1.6k

Views

About modified Bessel Function of first kind with order zero?

Published on 10 Jan 2018 - 20:23

score 942 · Answer 13 · 2011-04-15 22:09:19

942

Views

How did Bessel functions come to be denoted by $J_n$?

Published on 15 Apr 2011 - 22:09

score 649 · Answer 14 · 2011-05-06 22:58:52

649

Views

Bessel integral solution or simplification

Published on 06 May 2011 - 22:58

score 524 · Answer 15 · 2011-05-25 04:42:20

524

Views

Mixed Bessel Function integral $\int_{0}^{\infty} e^{- \lambda \left(\sqrt{(z+a)^2+b^2}+\sqrt{(z+c)^2+d^2}~\right)}\mathrm{d}z$

Published on 25 May 2011 - 4:42

List Question

Integrating products of BesselJ functions

Relationship between integral of a function and integral of square of function

Obtain a first order DE for a Bessel function of order $n$

coupled system of second order ODEs

Asymptotic form of the function doesn't satisfy original differential equation

Prove that $\frac{d}{dx}(xJ_\alpha(x)J_{\alpha+1}(x))=x(J_\alpha^2(x)-J_{\alpha+1}^2(x))$

What's the limit of a modified Bessel function of the first kind as the order approaches infinity?

Show that $L^{-1}\{(s^2+a^2)^{-\frac{3}{2}}\}=\frac{t}{a}J_1(ax)$

Series $\sum_{n=1}^{\infty} \left[K_0\left(\sqrt{[n\beta-it]^2+s^2 }\right)+K_0\left(\sqrt{[n\beta+it]^2+s^2}\right)\right]$

Definite integration of bessel function as a function of ρ, φ

Does the sum $\sum_{n=1}^{\infty} K_0(nx)$ converge or diverge?

About modified Bessel Function of first kind with order zero?

How did Bessel functions come to be denoted by $J_n$?

Bessel integral solution or simplification

Mixed Bessel Function integral $\int_{0}^{\infty} e^{- \lambda \left(\sqrt{(z+a)^2+b^2}+\sqrt{(z+c)^2+d^2}~\right)}\mathrm{d}z$

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