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Value Distribution Theory

  • Book
  • © 1966

Overview

Authors:
  1. Leo Sario

    1. University of California, Los Angeles, USA

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  2. Kiyoshi Noshiro

    1. Nagoya University, Nagoya, Japan

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Part of the book series: The university series in higher mathematics (USHM)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-4
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  2. Introduction

    • Leo Sario, Kiyoshi Noshiro
    Pages 5-10

  3. Mappings into Closed Riemann Surfaces

    • Leo Sario, Kiyoshi Noshiro
    Pages 11-41

  4. Mappings into Open Riemann Surfaces

    • Leo Sario, Kiyoshi Noshiro
    Pages 42-73

  5. Functions of Bounded Characteristic

    • Leo Sario, Kiyoshi Noshiro
    Pages 74-97

  6. Functions on Parabolic Riemann Surfaces

    • Leo Sario, Kiyoshi Noshiro
    Pages 98-119

  7. Picard Sets

    • Leo Sario, Kiyoshi Noshiro
    Pages 120-135

  8. Riemannian Images

    • Leo Sario, Kiyoshi Noshiro
    Pages 136-178

  9. Back Matter

    Pages 179-236
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Keywords

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.

Authors and Affiliations

  • University of California, Los Angeles, USA

    Leo Sario

  • Nagoya University, Nagoya, Japan

    Kiyoshi Noshiro

Bibliographic Information

  • Book Title: Value Distribution Theory

  • Authors: Leo Sario, Kiyoshi Noshiro

  • Series Title: The university series in higher mathematics

  • DOI: https://doi.org/10.1007/978-1-4615-8126-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1966

  • Softcover ISBN: 978-1-4615-8128-4Published: 07 December 2012

  • eBook ISBN: 978-1-4615-8126-0Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XI, 236

  • Additional Information: Originally published by Van Nostrand

  • Topics: Analysis

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