Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85

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Phillip A. Griffiths

Entire Holomorphic Mappings in One and Several Complex Variables.

AM-85 , Volume 85

Phillip A. Griffiths

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English

Princeton University Press
30 April 1976

Complex analysis, complex variables; Calculus of variations

Series: Annals of Mathematics Studies

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.

By: Phillip A. Griffiths
Imprint: Princeton University Press
Country of Publication: United States
Volume: 86
Dimensions: Height: 229mm, Width: 152mm, Spine: 6mm
Weight: 170g
ISBN: 9780691081724
ISBN 10: 0691081727
Series: Annals of Mathematics Studies
Pages: 110
Publication Date: 30 April 1976
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Paperback
Publisher's Status: Active

*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