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Integral of first order (first kind) bessel function

  1. Apr 18, 2008 #1

    while working on a problem i encountered the following integral :(limits are zero and infinity)


    J1 is the first order bessel function..cudnt put 1 in subscripts..

    Is there an analytical solution for this?? also is it possible to integrate it numerically?

    please help. thanks.
  2. jcsd
  3. Apr 18, 2008 #2
    The answer is 1/R.

    Check some basic properties of Bessel function, you will see that anti-derivatives of Bessel function can be expressed again as Bessel functions, then you have to study the asymptotic behavior of those ...
  4. Apr 18, 2008 #3
    hey thanks a lot...

    i got daunted by the zero and the infinity...been long since i saw bessel functions...thanks
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