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Homework Help: Laplace Transform

  1. Mar 11, 2010 #1
    How can I solve this Laplace transform (or how can I find series solution)?
    http://www.forkosh.dreamhost.com/mathtex.cgi?M=\int[/URL] [Broken] _0^{\infty }e^{-\text{kR}}J_1^2(\text{ka})dk[/PLAIN] [Broken] ;R>2a
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 12, 2010 #2
    J(ka) is spherical bessel function (please help).
     
    Last edited: Mar 12, 2010
  4. Mar 12, 2010 #3

    gabbagabbahey

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    Is this part of a larger problem? If you are simply looking to evaluate this integral, I'd recommend you use Rayleigh's formula.
     
  5. Mar 13, 2010 #4
    This is jackson classicsal electrodynamics problem 5.34b (third edition). I expand J1(ka) and integrate each term of J1(ka)*J1(ka) but I can't find solution. What must I do if R>2a? (please help).
     
  6. Mar 13, 2010 #5
    Thanks for all. I found the answer :)
     
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