|Apr20-12, 08:41 AM||#1|
integral of spherical bessel function (first kind), first order
I am trying to solve the following integral (limits from 0 to inf).
where j_1 is the first order SPHERICAL Bessel function of the first kind, of argument (k*r). Unfortunately, I cannot find it in the tables, nor manage to solve it... Can anybody help?
Thanks a lot! Any help will be very appreciated.
P.S: I came across this integral trying to apply analytically a direct filtering operation (convolution) in space domain to a point source (in a 3D space).
|Apr22-12, 12:26 PM||#2|
Thanks to WolframAlpha :
|Apr24-12, 06:17 AM||#3|
Alright! Thanks a lot!
|integration, radial functions, spherical bessel|
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