Is there any closed-form expression for the following integral:
$\int_0^\infty \frac{1}{(1+a_i s) \prod_{j=1}^n (1+a_j s)^k} ds $
where the ai are >0 and k is a positive integer. And, if k is not an integer?
Thank you
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This looks very much like a Lauricella Hypergeometric function: http://en.wikipedia.org/wiki/Lauricella_hypergeometric_series |
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