Title: The contour integral and the asymptotic expansion
Speaker: Peng Zhou
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Abstract:
Contour integral of one variable in the complex plane for a holomorphic function is well known and loved. We will discuss its two applications: 1. Integral representation of solution to (some special) ordinary differential equations. 2. Asymptotic expansion for integral of type $\int a(z) exp( N*f(z)) dz$, where N goes to infinity. Lots of examples and pictures will be given.Date: Friday, May 08, 2015