# Laplace Transform

ber70
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

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ber70

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Homework Helper
Gold Member
Is this part of a larger problem? If you are simply looking to evaluate this integral, I'd recommend you use Rayleigh's formula.

ber70
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).

ber70
Thanks for all. I found the answer :)