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Classical Topics in Complex Function Theory

  • Textbook
  • © 1998

Overview

Authors:
  1. Reinhold Remmert

    1. Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 172)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xix
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  2. Infinite Products and Partial Fraction Series

    1. Front Matter

      Pages 1-1
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    2. Infinite Products of Holomorphic Functions

      • Reinhold Remmert
      Pages 3-32

    3. The Gamma Function

      • Reinhold Remmert
      Pages 33-72

    4. Entire Functions with Prescribed Zeros

      • Reinhold Remmert
      Pages 73-87

    5. Holomorphic Functions with Prescribed Zeros

      • Reinhold Remmert
      Pages 89-105

    6. Iss’sa’s Theorem. Domains of Holomorphy

      • Reinhold Remmert
      Pages 107-124

    7. Functions with Prescribed Principal Parts

      • Reinhold Remmert
      Pages 125-143

  3. Mapping Theory

    1. Front Matter

      Pages 145-145
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    2. The Theorems of Montel and Vitali

      • Reinhold Remmert
      Pages 147-165

    3. The Riemann Mapping Theorem

      • Reinhold Remmert
      Pages 167-202

    4. Automorphisms and Finite Inner Maps

      • Reinhold Remmert
      Pages 203-222

  4. Selecta

    1. Front Matter

      Pages 223-223
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    2. The Theorems of Bloch, Picard, and Schottky

      • Reinhold Remmert
      Pages 225-242

    3. Boundary Behavior of Power Series

      • Reinhold Remmert
      Pages 243-266

    4. Runge Theory for Compact Sets

      • Reinhold Remmert
      Pages 267-288

    5. Runge Theory for Regions

      • Reinhold Remmert
      Pages 289-307

    6. Invariance of the Number of Holes

      • Reinhold Remmert
      Pages 309-319

  5. Correction to: Classical Topics in Complex Function Theory

    • Reinhold Remmert
    Pages E1-E1

  6. Back Matter

    Pages 321-352
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Authors and Affiliations

  • Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany

    Reinhold Remmert

Bibliographic Information

  • Book Title: Classical Topics in Complex Function Theory

  • Authors: Reinhold Remmert

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-2956-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98221-2Published: 14 November 1997

  • Softcover ISBN: 978-1-4419-3114-6Published: 01 December 2010

  • eBook ISBN: 978-1-4757-2956-6Published: 14 March 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIX, 352

  • Number of Illustrations: 39 b/w illustrations

  • Topics: Analysis

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