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Analytic Functions

  • Book
  • © 1970

Overview

Authors:
  1. Rolf Nevanlinna

    1. Academy of Finland, Finland

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    You can also search for this author in PubMed   Google Scholar

Editors:
  1. B. Eckmann

    1. Eidgenössische Technische Hochschule Zürich, Switzerland

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    You can also search for this editor in PubMed   Google Scholar

  2. B. L. Waerden

    1. Mathematisches Institut, Universität Zürich, Switzerland

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 162)

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Table of contents (14 chapters)

  1. Front Matter

    Pages III-VIII
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  2. Introduction

    • Rolf Nevanlinna
    Pages 1-3

  3. Conformal Mapping of Simply and Multiply Connected Regions

    • Rolf Nevanlinna
    Pages 4-21

  4. Solution of the Dirichlet Problem for a Schlicht Region

    • Rolf Nevanlinna
    Pages 22-36

  5. Function Theoretic Majorant Principles

    • Rolf Nevanlinna
    Pages 37-66

  6. Relations Between Noneuclidean and Euclidean Metrics

    • Rolf Nevanlinna
    Pages 67-113

  7. Point Sets of Harmonic Measure Zero

    • Rolf Nevanlinna
    Pages 114-161

  8. The First Main Theorem in the Theory of Meromorphic Functions

    • Rolf Nevanlinna
    Pages 162-180

  9. Functions of Bounded Type

    • Rolf Nevanlinna
    Pages 181-213

  10. Meromorphic Functions of Finite Order

    • Rolf Nevanlinna
    Pages 214-233

  11. The Second Main Theorem in the Theory of Meromorphic Functions

    • Rolf Nevanlinna
    Pages 234-260

  12. Application of the Second Main Theorem

    • Rolf Nevanlinna
    Pages 261-281

  13. The Riemann Surface of a Univalent Function

    • Rolf Nevanlinna
    Pages 282-307

  14. The Type of a Riemann Surface

    • Rolf Nevanlinna
    Pages 308-320

  15. The Ahlfors Theory of Covering Surfaces

    • Rolf Nevanlinna
    Pages 321-354

  16. Back Matter

    Pages 355-376
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Keywords

Authors, Editors and Affiliations

  • Eidgenössische Technische Hochschule Zürich, Switzerland

    B. Eckmann

  • Mathematisches Institut, Universität Zürich, Switzerland

    B. L. Waerden

  • Academy of Finland, Finland

    Rolf Nevanlinna

Bibliographic Information

  • Book Title: Analytic Functions

  • Authors: Rolf Nevanlinna

  • Editors: B. Eckmann, B. L. Waerden

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-85590-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1970

  • eBook ISBN: 978-3-642-85590-0Published: 20 December 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: VIII, 376

  • Number of Illustrations: 41 b/w illustrations

  • Topics: Functional Analysis

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