Entire holomorphic mappings in one and several complex variables /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Phillip A. Griffiths
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton Univ Press, 2016.
Subjects:
Holomorphic mappings.
Applications holomorphes.
MATHEMATICS > Calculus.
Holomorphic mappings
Online Access:Texto completo
Table of Contents:
  • Cover; Title; Copyright; TABLE OF CONTENTS; INDEX OF NOTATIONS; INTRODUCTION ; (a) Some general remarks ; (b) General references and background material ; CHAPTER 1: ORDERS OF GROWTH ; (a) Some heuristic comments ; (b) Order of growth of entire analytic sets ; (c) Order functions for entire holomorphic mappings.
  • (D) Classical indicators of orders of growth (e) Entire functions and varieties of finite order ; CHAPTER 2: THE APPEARANCE OF CURVATURE ; (a) Heuristic reasoning ; (b) Volume forms ; (c) The Ahlfors lemma ; (d) The Second Main Theorem ; CHAPTER 3: THE DEFECT RELATIONS.
  • (A) Proof of the defect relations (b) The lemma on the logarithmic derivative ; (c) R. Nevanlinna's proof of the defect relation 3.10; (d) Ahlfors' proof of the defect relation 3.10; (e) Refinements in the classical case ; BIBLIOGRAPHY.

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