The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.
In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.
Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
Table of Contents:
- Frontmatter, pg. i
- TABLE OF CONTENTS, pg. vii
- INDEX OF NOTATIONS, pg. ix
- INTRODUCTION, pg. 1
- CHAPTER 1. ORDERS OF GROWTH, pg. 8
- CHAPTER 2. THE APPEARANCE OF CURVATURE, pg. 40
- CHAPTER 3. THE DEFECT RELATIONS, pg. 65
- BIBLIOGRAPHY, pg. 97
- Backmatter, pg. 100
Other Princeton books authored or coauthored by Phillip A. Griffiths: