Holomorphic Functions: Taylor Series Expansion

This lecture covers the basic properties of holomorphic maps, focusing on Taylor series expansions. It explains the concept of Taylor series expansion for holomorphic functions and its applications, such as convergence radius and uniqueness. The lecture also introduces the lemma related to holomorphic functions and their convergence. The proof of the properties of holomorphic maps is discussed, emphasizing the importance of Taylor series expansions in complex analysis.