Integrating products of Bessel functions

  • Thread starter appelberry
  • Start date
  • #1
23
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Hi guys,

Does anyone have any ideas about an analytical solution for the following integral?

[tex]
\int_{0}^{2\pi}J_{m}\left(z_{1}\cos\theta\right)J_{n}\left(z_{2}\sin\theta\right)d\theta
[/tex]

[tex]J_{m}\left(\right)[/tex] is a Bessel function of the first kind of order m. Thanks.
 

Answers and Replies

  • #2
607
0
Can you do the special case
[tex]\int _{0}^{2\,\pi }\!{{\rm J}_0\left(\cos \left( t \right) \right)}\;{dt}
[/tex]
 

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