Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Gold Member

    Try writing down the series representation of [itex]J_0(kr)[/itex] and integrate term by term.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook