Analytic Continuation: Direct Analytic Continuation, Monodromy
Theorem, Poisson Integral Formula, Analytic Continuation via Reflection.
Representations for Meromorphic and Entire Functions: Infinite
Sums and Meromorphic functions, Infinite Product of Complex Numbers,
Infinite Products of Analytic Functions, Factorization of Entire Functions,
The Gamma Function, The Zeta Function, Jensen's Formula, The Order
and the Genus of Entire Functions.
Mapping Theorems: Open Mapping Theorem and Hurwitz' Theorem,
Basic Results on Univalent Functions, Normal Families, The Riemann
Mapping Theorem, Bieberbach Conjecture, The Bloch-Landau
Theorems, Picard's Theorem.
- Teacher: tevbal Venkata Balaji T E