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We all know that Watson's Lemma is used to approximate the integral $ F\left( s \right)=\int_0^\infty {{e^{ - st}}f\left( t \right)dt} $ for large $s$. However, for arbitrary $s$, are there any methods to approximate $F(s)$?

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    Yes, I know that. What I concern is are there other methods to approximate those types of integral?2012-12-27

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