List questions from bessel-functions

Published on 27 Mar 2026 - 0:02

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Modified bessel-function of second kind - asymptotic behavior.

Published on 20 Dec 2016 - 20:42

518

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On the integral $\int_0^\infty J_0(x)\,dx$

Published on 21 Dec 2016 - 0:17

233

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Prove limit involving modified Bessel function

Published on 23 Dec 2016 - 12:26

351

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Deriving a Series Representation of the Bessel Function of the First Kind

Published on 25 Dec 2016 - 12:48

717

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Solve a linear ODE with dirac delta

Published on 29 Mar 2026 - 14:27

168

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Expansion with Bessel functions, integral form

Published on 08 Jan 2017 - 22:52

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For what $d$ does $\sum\limits_{m=-\infty}^{\infty}\int_0^\infty e^{-t}\left[I_{|m|}\left(\frac{t}{d}\right)\right]^d \;\mathrm dt$ converge?

Published on 08 Jan 2017 - 23:39

614

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Show the limiting forms of the Bessel functions

Published on 11 Jan 2017 - 21:16

296

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Compute the integral $\int_0^{\pi/2}\sin(1+\cos^2x)\mathrm{d}x $

Published on 12 Jan 2017 - 11:07

661

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Convergence of Bessel Expansions at the End Points

Published on 28 Mar 2026 - 11:33

445

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A tough integral : $\int_{0}^{\infty }\frac{\sin x \text{ or} \cos x}{\sqrt{x^{2}+z^{2}}}\ln\left ( x^{2}+z^{2} \right )\mathrm{d}x$

Published on 17 Jan 2017 - 8:47

328

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Sum involving the squared roots of Bessel function J0

Published on 17 Jan 2017 - 9:54

919

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Double Fourier-Bessel series coefficients

Published on 17 Jan 2017 - 21:46

555

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Integral of complex exponential inside a ball

Published on 18 Jan 2017 - 20:31

List Question

Intersection point of two noncentral chi-square distributions

Modified bessel-function of second kind - asymptotic behavior.

On the integral $\int_0^\infty J_0(x)\,dx$

Prove limit involving modified Bessel function

Deriving a Series Representation of the Bessel Function of the First Kind

Solve a linear ODE with dirac delta

Expansion with Bessel functions, integral form

For what $d$ does $\sum\limits_{m=-\infty}^{\infty}\int_0^\infty e^{-t}\left[I_{|m|}\left(\frac{t}{d}\right)\right]^d \;\mathrm dt$ converge?

Show the limiting forms of the Bessel functions

Compute the integral $\int_0^{\pi/2}\sin(1+\cos^2x)\mathrm{d}x $

Convergence of Bessel Expansions at the End Points

A tough integral : $\int_{0}^{\infty }\frac{\sin x \text{ or} \cos x}{\sqrt{x^{2}+z^{2}}}\ln\left ( x^{2}+z^{2} \right )\mathrm{d}x$

Sum involving the squared roots of Bessel function J0

Double Fourier-Bessel series coefficients

Integral of complex exponential inside a ball

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