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Integrating products of Bessel functions

  1. Aug 28, 2009 #1
    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.
     
  2. jcsd
  3. Aug 28, 2009 #2
    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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