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mvillagra
Aug23-09, 02:47 AM
What method can I use to find an asymptotic expansion for an integral of the form

\int_a^b g(k)\left[f(k)\right]^tdk

where the domains of the functions are the reals, but mapping onto the complex plane, i.e., f,g:\mathcal{R}\to\mathcal{C}. Can I use Laplace's method, stationary phase method, steepest descent, etc? Is there any other option?

Thanks in advance!!!