List questions from bessel-functions

Published on 25 Nov 2016 - 20:56

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Equivalency of two definitions of the Bessel Function $J_0(x)$

Published on 29 Nov 2016 - 23:50

458

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Accurate identities related to $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^3}x^n$ and $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^4}x^n$

Published on 26 Mar 2026 - 6:34

34

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How can one change this recurrence relation to be in terms of the first value of a?

Published on 02 Dec 2016 - 17:13

23

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How can one put this recurrence relation in terms of the first value of a?

Published on 03 Dec 2016 - 15:20

2.6k

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Converting ODE solution to Bessel function

Published on 06 Dec 2016 - 5:23

1.9k

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Prove that $\int J_5(x) dx= -J_4(x) - \frac {4}{x} J_3(x) - \frac {8}{x^2}J_2(x) +c$

Published on 06 Dec 2016 - 19:22

452

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Definite integral with trigonometric and modified Bessel functions

Published on 25 Mar 2026 - 13:53

80

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Query related to Eq. 3.471.9 of Book of Gradeshteyn (Integration tables series and products)

Published on 08 Dec 2016 - 4:33

67

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asymptotic density of zeros for these bessel functions?

Published on 08 Dec 2016 - 9:43

3.7k

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Find the limits of the spherical bessel-function

Published on 08 Dec 2016 - 20:10

76

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Series that looks like the modified Bessel function

Published on 09 Dec 2016 - 18:34

552

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Series of a square of modified Bessel function of first kind

Published on 10 Dec 2016 - 22:07

138

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Asymptotic of fourier transform of a oscillatory kernel

Published on 23 Feb 2026 - 5:13

199

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Perturbed Bessel equation

Published on 26 Mar 2026 - 21:25

List Question

Tricky sum of a double integral involving a product of cosines

Equivalency of two definitions of the Bessel Function $J_0(x)$

Accurate identities related to $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^3}x^n$ and $\sum\limits_{n=0}^{\infty}\frac{(2n)!}{(n!)^4}x^n$

How can one change this recurrence relation to be in terms of the first value of a?

How can one put this recurrence relation in terms of the first value of a?

Converting ODE solution to Bessel function

Prove that $\int J_5(x) dx= -J_4(x) - \frac {4}{x} J_3(x) - \frac {8}{x^2}J_2(x) +c$

Definite integral with trigonometric and modified Bessel functions

Query related to Eq. 3.471.9 of Book of Gradeshteyn (Integration tables series and products)

asymptotic density of zeros for these bessel functions?

Find the limits of the spherical bessel-function

Series that looks like the modified Bessel function

Series of a square of modified Bessel function of first kind

Asymptotic of fourier transform of a oscillatory kernel

Perturbed Bessel equation

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