© 1966

Value Distribution Theory


Part of the The University Series in Higher Mathematics book series (USHM)

Table of contents

  1. Front Matter
    Pages i-4
  2. Leo Sario, Kiyoshi Noshiro
    Pages 5-10
  3. Leo Sario, Kiyoshi Noshiro
    Pages 11-41
  4. Leo Sario, Kiyoshi Noshiro
    Pages 42-73
  5. Leo Sario, Kiyoshi Noshiro
    Pages 74-97
  6. Leo Sario, Kiyoshi Noshiro
    Pages 98-119
  7. Leo Sario, Kiyoshi Noshiro
    Pages 120-135
  8. Leo Sario, Kiyoshi Noshiro
    Pages 136-178
  9. Back Matter
    Pages 179-236

About this book


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.


Finite Meromorphic function Riemann surface distribution equation extrema function integral integral equation minimum proof theorem

Authors and affiliations

  1. 1.University of CaliforniaLos AngelesUSA
  2. 2.Nagoya UniversityNagoyaJapan

Bibliographic information

  • Book Title Value Distribution Theory
  • Authors L. Sario
    K. Noshiro
  • Series Title The University Series in Higher Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 1966
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-90130-5
  • Softcover ISBN 978-1-4615-8128-4
  • eBook ISBN 978-1-4615-8126-0
  • Edition Number 1
  • Number of Pages XI, 236
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Van Nostrand
  • Topics Analysis
  • Buy this book on publisher's site
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