Ebook: Value Distribution Theory
- Tags: Mathematics general
- Series: The University Series in Higher Mathematics
- Year: 1966
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
The purpose of this research monograph is to build up a modern value distribution theory for complex analytic mappings between abstract Riemann surfaces. All results presented herein are new in that, apart from the classical background material in the last chapter, there is no over lapping with any existing monograph on merom orphic functions. Broadly speaking the division of the book is as follows: The Introduction and Chapters I to III deal mainly with the theory of mappings of arbitrary Riemann surfaces as developed by the first named author; Chapter IV, due to Nakai, is devoted to meromorphic functions on parabolic surfaces; Chapter V contains Matsumoto's results on Picard sets; Chapter VI, pre dominantly due to the second named author, presents the so-called nonintegrated forms of the main theorems and includes some joint work by both authors. For a complete list of writers whose results have been discussed we refer to the Author Index.
Content:
Front Matter....Pages i-4
Introduction....Pages 5-10
Mappings into Closed Riemann Surfaces....Pages 11-41
Mappings into Open Riemann Surfaces....Pages 42-73
Functions of Bounded Characteristic....Pages 74-97
Functions on Parabolic Riemann Surfaces....Pages 98-119
Picard Sets....Pages 120-135
Riemannian Images....Pages 136-178
Back Matter....Pages 179-236
Content:
Front Matter....Pages i-4
Introduction....Pages 5-10
Mappings into Closed Riemann Surfaces....Pages 11-41
Mappings into Open Riemann Surfaces....Pages 42-73
Functions of Bounded Characteristic....Pages 74-97
Functions on Parabolic Riemann Surfaces....Pages 98-119
Picard Sets....Pages 120-135
Riemannian Images....Pages 136-178
Back Matter....Pages 179-236
....