Complex analysis factors

Sep 7, 2022Great question. The answer has two parts. (1) Blaschke factors are a special type of Möbius transform (en.wikipedia.org/wiki/M%C3%B6bius_  complex analysis - Show that Blaschke factors satisfy inequalityBlaschke Factor mapping holomorphic - Mathematics Stack Exchangecomplex analysis - How were Blaschke factors discovered?Understanding the elementary factors in Weierstrass factorization More results from math.stackexchange.com

In fact, to a large extent complex analysis is the study of analytic functions. After a brief review of complex numbers as points in the complex plane, we will 

In this section we will study complex functions of a complex variable. We will see that differentiability of such a function is a non-trivial property, giving