List questions from bessel-functions

Published on 31 Jan 2023 - 10:39

302

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Proof for Generating function of Bessel function

Published on 31 Jan 2023 - 15:24

76

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Integration of a product of Airy function and gaussian function

Published on 24 Feb 2026 - 2:06

80

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An improper integral involving a Gaussian and Hermite polynomials.

Published on 26 Mar 2026 - 4:30

179

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Evaluating an integral involving Bessel K functions

Published on 10 Feb 2023 - 0:36

190

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Bessel Function shows exponential decay

Published on 12 Feb 2023 - 16:12

148

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sum of bessel functions times exponentials

Published on 18 Feb 2023 - 21:00

38

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A Bessel function inspired recurrent sum

Published on 19 Feb 2023 - 6:07

172

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Proof of alternating zeros of Bessel function

Published on 19 Feb 2023 - 20:17

68

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Integral involving square roots and Bessel functions

Published on 21 Feb 2023 - 5:43

109

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Evaluating the improper integral $\int_0^\infty k^3\left(k+\sqrt{k^2+\alpha^2}\right)e^{-\beta\left(k+\sqrt{k^2+\alpha^2}\right)}J_0(\rho k)\text{d}k$

Published on 21 Feb 2023 - 17:50

51

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Fourier decomposition of functions that have blowups at the origin

Published on 25 Mar 2026 - 17:19

111

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Integral 6.717 of Gradshteyn and Ryzhik: $\int_{-\infty}^\infty \frac{\sin(a(x+\beta))}{x^\nu(x+\beta)} J_{\nu+2n}(x) \,dx$

Published on 23 Feb 2026 - 22:04

140

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An expression of certain integral in terms of the Bessel function

Published on 25 Mar 2026 - 19:04

35

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Help with a Bessel Function identity

Published on 06 Mar 2023 - 0:06

List Question

Asymptotic expansion of Bessel function of the first kind, order zero

Proof for Generating function of Bessel function

Integration of a product of Airy function and gaussian function

An improper integral involving a Gaussian and Hermite polynomials.

Evaluating an integral involving Bessel K functions

Bessel Function shows exponential decay

sum of bessel functions times exponentials

A Bessel function inspired recurrent sum

Proof of alternating zeros of Bessel function

Integral involving square roots and Bessel functions

Evaluating the improper integral $\int_0^\infty k^3\left(k+\sqrt{k^2+\alpha^2}\right)e^{-\beta\left(k+\sqrt{k^2+\alpha^2}\right)}J_0(\rho k)\text{d}k$

Fourier decomposition of functions that have blowups at the origin

Integral 6.717 of Gradshteyn and Ryzhik: $\int_{-\infty}^\infty \frac{\sin(a(x+\beta))}{x^\nu(x+\beta)} J_{\nu+2n}(x) \,dx$

An expression of certain integral in terms of the Bessel function

Help with a Bessel Function identity

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