List questions from bessel-functions

Published on 07 Feb 2022 - 13:03

355

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A definite integral in the Bessel function $J_{-1/2}(s)$ from Stein-Shakarchi

Published on 07 Feb 2022 - 15:25

168

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Asymptotics of Laplace transform for small parameter

Published on 08 Feb 2022 - 16:24

422

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Integral of Bessel function, power, and hyperbolic cosecant

Published on 09 Feb 2022 - 17:10

261

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Approximations of $\sum_{n=0}^\infty\frac{x^n}{n!}$ and $\sum_{n=0}^\infty\frac{x^n}{n!^2}$

Published on 11 Feb 2022 - 11:31

94

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Absolute value and modified Bessel function

Published on 11 Feb 2022 - 15:39

105

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Find 2 solutions of the Bessel equation as series of $x$

Published on 23 Feb 2026 - 20:43

134

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How to integrate this Bessel function of zero order second kind?

Published on 16 Feb 2022 - 10:05

115

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Closed form expression for integral involving modified Bessel function?

Published on 16 Feb 2022 - 22:42

367

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Generalized integrals for Bessel Moments $\int_{0}^{\infty} x^4K_0(x)K_1(x)^3 \ln(xK_1(x))^2\text{d}x=\frac{1}{32}$

Published on 18 Feb 2022 - 14:30

96

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A curious Mellin pair

Published on 28 Mar 2026 - 0:06

204

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Inverse Laplace Tranform of a function involving modified Bessel functions of the second kind

Published on 21 Feb 2022 - 10:00

83

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Double integral $ \int_{0}^{\alpha}dx\int_{0}^{\alpha}dy\frac{\ln|x-y|}{\sqrt{xy}}$

Published on 03 Apr 2026 - 9:28

98

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Asymptotics of an integral involving a Bessel function does not yield expected result

Published on 22 Feb 2022 - 10:47

57

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Asymptotic approximation of the Bessel integral

Published on 22 Feb 2022 - 19:09

List Question

Bounds for ratio of Bessel functions

A definite integral in the Bessel function $J_{-1/2}(s)$ from Stein-Shakarchi

Asymptotics of Laplace transform for small parameter

Integral of Bessel function, power, and hyperbolic cosecant

Approximations of $\sum_{n=0}^\infty\frac{x^n}{n!}$ and $\sum_{n=0}^\infty\frac{x^n}{n!^2}$

Absolute value and modified Bessel function

Find 2 solutions of the Bessel equation as series of $x$

How to integrate this Bessel function of zero order second kind?

Closed form expression for integral involving modified Bessel function?

Generalized integrals for Bessel Moments $\int_{0}^{\infty} x^4K_0(x)K_1(x)^3 \ln(xK_1(x))^2\text{d}x=\frac{1}{32}$

A curious Mellin pair

Inverse Laplace Tranform of a function involving modified Bessel functions of the second kind

Double integral $ \int_{0}^{\alpha}dx\int_{0}^{\alpha}dy\frac{\ln|x-y|}{\sqrt{xy}}$

Asymptotics of an integral involving a Bessel function does not yield expected result

Asymptotic approximation of the Bessel integral

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