Complex Analysis: Theory and Applications · Problem 7.3.20
Taylor and Laurent Series — Howell & Matthews
Mathematics — Complex Analysis · laurent-series
Problem
Verify the following claims made in this section.
((a)) The series in Equation (7.27) converges uniformly for z∈C2.
((b)) The validity of Equation (7.28), according to Corollary 4.2.
((c)) The series in Equation (7.28) converges uniformly for z∈C1.