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Solve the Integral

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data

    I need to find the follwoing integral in closed form using defined functions.

    2. Relevant equations

    [tex]\int_0^{\infty}\gamma^{a}(\gamma^2+\gamma)^{\frac{n+1}{2}}\,\mbox{exp}[-\gamma(s+\zeta)]\,K_{n+1}\left(2\,\sqrt{\frac{(\gamma^2+\gamma)(j+1)}{\rho}}\right)\,d\gamma[/tex]

    where [tex]K_v(.)[/tex] is the modified Bessel function of the second kind and [tex]v^{th}[/tex] order.

    3. The attempt at a solution

    I didn't find a similar expression in the table of integrals.
     
  2. jcsd
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