Question

Behaviour of product of Bessel functions $Y_n(z)J_n(z)$?

score 111 · Answer 1 · 2018-04-03 18:21:06

111

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Behaviour of product of Bessel functions $Y_n(z)J_n(z)$?

Published on 03 Apr 2018 - 18:21

score 115 · Answer 2 · 2018-04-05 19:12:39

115

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What is the integral to $\int \frac{\sin \left( xt\sqrt{t^{2}+a^{2}}\right)}{t} \, dt$

Published on 05 Apr 2018 - 19:12

score 304 · Answer 3 · 2026-03-25 11:33:00

304

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Solution of the integral $\int_{0}^{R} x^{\lambda} (1-x)^{\mu-1} K_{1}(a\sqrt{x}) \, dx$

Published on 25 Mar 2026 - 11:33

score 223 · Answer 4 · 2018-04-12 09:49:50

223

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On the integral $\int_{(0,1)^n}\frac{\prod\sin\theta_k}{\sum\sin\theta_k}d\mu$

Published on 12 Apr 2018 - 9:49

score 134 · Answer 5 · 2018-04-16 12:19:59

134

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Integral of $\sin(x)\exp(-a/\sin x)$

Published on 16 Apr 2018 - 12:19

score 259 · Answer 6 · 2018-04-16 18:39:02

259

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Evaluate the modified Bessel function in large limit $\int_0^{2\pi}\exp(-C)\cdot\exp\left(a\sin\phi+b\cos\phi\right)\,d\phi$

Published on 16 Apr 2018 - 18:39

score 66 · Answer 7 · 2018-04-17 11:08:59

How is proof of $J_0^2 (x)$ + $2J_1^2 (x)$ + $2J_2^2 (x)$ $+ ... = 1$ done using the Bessel's generating function? Please help

score 1.6k · Answer 8 · 2018-04-18 11:24:04

1.6k

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What is the difference between Bessel function of the first kind of order 0 and 1?

Published on 18 Apr 2018 - 11:24

score 132 · Answer 9 · 2026-03-26 05:38:01

132

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Non-vanishing of K-Bessel function

Published on 26 Mar 2026 - 5:38

score 336 · Answer 10 · 2018-04-19 17:23:29

336

Views

Dividing Modified Bessel function of the second kind at x=0

Published on 19 Apr 2018 - 17:23

score 500 · Answer 11 · 2026-03-25 00:01:12

500

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Calculation Resolvent/$\alpha$-Potential of Brownian Motion/Wiener Process

Published on 25 Mar 2026 - 0:01

score 116 · Answer 12 · 2018-04-29 07:24:06

116

Views

Why $\nu>-1$ for Bessel function orthogonality

Published on 29 Apr 2018 - 7:24

score 157 · Answer 13 · 2018-04-30 08:31:37

157

Views

Integral representation of modified Bessel function $K_\nu(x)$

Published on 30 Apr 2018 - 8:31

score 1k · Answer 14 · 2018-05-01 04:10:50

1k

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$J_n(x)=0$ has no repeated root except zero. How to prove it?

Published on 01 May 2018 - 4:10

score 969 · Answer 15 · 2018-05-01 06:11:31

969

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question on integral using Bessel function of zero order $\int_0^1 x J_0^2(\lambda x) \,dx$

Published on 01 May 2018 - 6:11

List Question

Behaviour of product of Bessel functions $Y_n(z)J_n(z)$?

What is the integral to $\int \frac{\sin \left( xt\sqrt{t^{2}+a^{2}}\right)}{t} \, dt$

Solution of the integral $\int_{0}^{R} x^{\lambda} (1-x)^{\mu-1} K_{1}(a\sqrt{x}) \, dx$

On the integral $\int_{(0,1)^n}\frac{\prod\sin\theta_k}{\sum\sin\theta_k}d\mu$

Integral of $\sin(x)\exp(-a/\sin x)$

Evaluate the modified Bessel function in large limit $\int_0^{2\pi}\exp(-C)\cdot\exp\left(a\sin\phi+b\cos\phi\right)\,d\phi$

How is proof of $J_0^2 (x)$ + $2J_1^2 (x)$ + $2J_2^2 (x)$ $+ ... = 1$ done using the Bessel's generating function? Please help

What is the difference between Bessel function of the first kind of order 0 and 1?

Non-vanishing of K-Bessel function

Dividing Modified Bessel function of the second kind at x=0

Calculation Resolvent/$\alpha$-Potential of Brownian Motion/Wiener Process

Why $\nu>-1$ for Bessel function orthogonality

Integral representation of modified Bessel function $K_\nu(x)$

$J_n(x)=0$ has no repeated root except zero. How to prove it?

question on integral using Bessel function of zero order $\int_0^1 x J_0^2(\lambda x) \,dx$

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