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Extremum Problems for Bounded Univalent Functions

  • Book
  • © 1978

Overview

Authors:
  1. Olli Tammi

    1. Department of Mathematics, University of Helsinki, Helsinki 10, Finland

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 646)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-VII
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  2. Introduction

    • Olli Tammi
    Pages 1-5

  3. Löwner-functions

    • Olli Tammi
    Pages 6-37

  4. Generalized Löwner-functions

    • Olli Tammi
    Pages 38-77

  5. A generalization of the class S(b)

    • Olli Tammi
    Pages 78-98

  6. Functions with bounded boundary rotation

    • Olli Tammi
    Pages 99-116

  7. Variation of Green's function

    • Olli Tammi
    Pages 117-125

  8. The schiffer-condition for S(b)-functions

    • Olli Tammi
    Pages 126-147

  9. The coefficient a3

    • Olli Tammi
    Pages 148-162

  10. The power inequality

    • Olli Tammi
    Pages 163-187

  11. Application to the coefficient a3 and a4

    • Olli Tammi
    Pages 188-219

  12. Optimization of parameters for N=1

    • Olli Tammi
    Pages 220-265

  13. Optimization in the case N=3

    • Olli Tammi
    Pages 266-286

  14. The power inequality

    • Olli Tammi
    Pages 287-293

  15. On generalizing the power inequality

    • Olli Tammi
    Pages 294-310

  16. Back Matter

    Pages 311-316
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Helsinki, Helsinki 10, Finland

    Olli Tammi

Bibliographic Information

  • Book Title: Extremum Problems for Bounded Univalent Functions

  • Authors: Olli Tammi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0070428

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08756-4Published: 01 April 1978

  • eBook ISBN: 978-3-540-35876-3Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 313

  • Topics: Special Functions

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