Syllabus
Entire and meromorphic functions (infinite products, the Weierstrass product theorem, the Mittag-Leffler theorem, Cauchy's method)
Properties of the space H(G) of holomorphic functions on an open set G.
Characterization of the dual H(G)*, applications of the Hahn-Banach theorem: Runge's theorems.
Conformal mappings (homographic transformations, the Schwarz lemma, Blaschke's factors, the Riemann theorem)
Annotation
Advanced Complex Analysis for bachelor's program in General Mathematics.
Recommended for specializations Mathematical Analysis.