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Integral of spherical bessel function (first kind), first order

  1. Apr 20, 2012 #1
    Hello,
    I am trying to solve the following integral (limits from 0 to inf).

    ∫j_1(kr) dr

    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).
     
  2. jcsd
  3. Apr 22, 2012 #2
    Thanks to WolframAlpha :
     

    Attached Files:

  4. Apr 24, 2012 #3
    Alright! Thanks a lot!
     
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