A problem about integral of modified bessel function

jianingli
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To calculate a p.d.f. of a r.v., I need to integral a product of two bessel function as

\mathcal{L}^{-1} \left( abs^2 K_n( \sqrt{as}) K_n( \sqrt{bs} ) \right)

where \mathcal{L}^{-1} is the inverse Laplace transform.

I think some properties about the bessel function can solve this integral, but I cannot find it. So, please help me.

Thank you very much.
 
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I am looking for the inverse laplace transform of modified Bessel functions, could you please help me?.
 
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