Classical Topics in Complex Function Theory

Main Author: Remmert, Reinhold
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 1998, 1998
Edition:1st ed. 1998
Series:Graduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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