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Math 6420 • PDE

Fall 2000 • Question 8

Approximate the integral \begin{equation} I(k)=\int _C\frac {e^{k(z-2)^2}}{z-1}\,dz \end{equation} for large \(k\), where the contour \(C\) is the vertical imaginery axis from \(z=-i\infty \) to \(z=i\infty \).

Raw LaTeX

Approximate the integral
\begin{equation}
  I(k)=\int_C\frac{e^{k(z-2)^2}}{z-1}\,dz
\end{equation}
for large \(k\), where the contour \(C\) is the vertical imaginery axis from \(z=-i\infty\) to
\(z=i\infty\).