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

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

  1. Apr 20, 2012 #1
    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!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook