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Fuchsian Differential Equations

With Special Emphasis on the Gauss-Schwarz Theory

  • Book
  • © 1987

Overview

Authors:
  1. Masaaki Yoshida

    1. Kyushu University, Fukuoka, Japan

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Part of the book series: Aspects of Mathematics (ASMA, volume E 11)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Part I

    1. Hypergeometric Differential Equations

      • Masaaki Yoshida
      Pages 1-13

    2. General Theory of Differential Equations I

      • Masaaki Yoshida
      Pages 14-26

    3. The Riemann and Riemann-Hilbert Problems

      • Masaaki Yoshida
      Pages 27-37

    4. Schwarzian Derivatives I

      • Masaaki Yoshida
      Pages 38-45

    5. The Gauss-Schwarz Theory for Hypergeometric Differential Equations

      • Masaaki Yoshida
      Pages 46-57

  3. Part II

    1. Hypergeometric Differential Equations in Several Variables

      • Masaaki Yoshida
      Pages 58-81

    2. The General Theory of Differential Equations

      • Masaaki Yoshida
      Pages 82-94

    3. Schwarzian Derivatives II

      • Masaaki Yoshida
      Pages 95-106

    4. The Riemann and Riemann-Hilbert Problems II

      • Masaaki Yoshida
      Pages 107-114

    5. The Gauss-Schwarz Theory in Two Variables

      • Masaaki Yoshida
      Pages 115-153

    6. Reflection Groups

      • Masaaki Yoshida
      Pages 154-180

    7. Toward Finding New Differential Equations

      • Masaaki Yoshida
      Pages 181-203

  4. Back Matter

    Pages 204-215
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Keywords

Authors and Affiliations

  • Kyushu University, Fukuoka, Japan

    Masaaki Yoshida

Bibliographic Information

  • Book Title: Fuchsian Differential Equations

  • Book Subtitle: With Special Emphasis on the Gauss-Schwarz Theory

  • Authors: Masaaki Yoshida

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-663-14115-0

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1987

  • Softcover ISBN: 978-3-528-08971-9Published: 01 January 1987

  • eBook ISBN: 978-3-663-14115-0Published: 03 September 2013

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: XIV, 215

  • Topics: Partial Differential Equations, Difference and Functional Equations, Mathematics, general

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