Complex Analysis: Theory and Applications · Problem 6.5.12

Taylor and Laurent Series — Howell & Matthews

Mathematics — Complex Analysis · cauchy-integral-formula

Problem

Evaluate

\int_C z^{-1}(z-1)^{-1}\exp z\,dz

along the following contours: ((a)) The circle

C_{1/2}^+(0)

. ((b)) The circle

C_2^+(0)