Classical Topics in Complex Function Theory

1 Infinite Products of Holomorphic Functions.- 2 The Gamma Function.- 3 Entire Functions with Prescribed Zeros.- 4* Holomorphic Functions with Prescribed Zeros.- 5 Iss'sa's Theorem. Domains of Holomorphy.- 6 Functions with Prescribed Principal Parts.- 7 The Theorems of Montel and Vitali.- 8 The Riemann Mapping Theorem.- 9 Automorphisms and Finite Inner Maps.- 10 The Theorems of Bloch, Picard, and Schottky.- 11 Boundary Behavior of Power Series.- 12 Runge Theory for Compact Sets.- 13 Runge Theory for Regions.- 14 Invariance of the Number of Holes.- Short Biographies.- Symbol Index.- Name Index.

1 Infinite Products of Holomorphic Functions. - 2 The Gamma Function. - 3 Entire Functions with Prescribed Zeros. - 4* Holomorphic Functions with Prescribed Zeros. - 5 Iss sa s Theorem. Domains of Holomorphy. - 6 Functions with Prescribed Principal Parts. - 7 The Theorems of Montel and Vitali. - 8 The Riemann Mapping Theorem. - 9 Automorphisms and Finite Inner Maps. - 10 The Theorems of Bloch, Picard, and Schottky. - 11 Boundary Behavior of Power Series. - 12 Runge Theory for Compact Sets. - 13 Runge Theory for Regions. - 14 Invariance of the Number of Holes. - Short Biographies. - Symbol Index. - Name Index.