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Mathematical Physics: Bessel functions of the first kind property

  1. Oct 16, 2013 #1
    I ran into some formula:

    [itex]^{a}_{0}[/itex]∫J[itex]_{o}[/itex](kr) rdr= a/k J[itex]_{1}[/itex](ka)

    How can this be true? What property was used?
     
  2. jcsd
  3. Oct 16, 2013 #2

    jasonRF

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    Try writing down the series representation of [itex]J_0(kr)[/itex] and integrate term by term.
     
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