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If we have integrals of the form:

[tex] \oint_{C} ds f(s) e^{st} [/tex] for [tex] t\sim \infty [/tex]

or [tex] \int_{-\infty}^{\infty}dxf(a+ix)e^{ixt} [/tex]

In both cases i would like to know some techniques to evaluate 'asymptotically' the integrals given above for big t using only a few residues or other methods... thanks

[tex] \oint_{C} ds f(s) e^{st} [/tex] for [tex] t\sim \infty [/tex]

or [tex] \int_{-\infty}^{\infty}dxf(a+ix)e^{ixt} [/tex]

In both cases i would like to know some techniques to evaluate 'asymptotically' the integrals given above for big t using only a few residues or other methods... thanks

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