Complex Analysis: Theory and Applications · Problem 6.5.17

Taylor and Laurent Series — Howell & Matthews

Mathematics — Complex Analysis · cauchy-integral-formula

Problem

Let

z_1

and

z_2

be two complex numbers that lie interior to the simple closed contour

C

with positive orientation. Evaluate

\int_C (z-z_1)^{-1}(z-z_2)^{-1}\,dz.