Computational Techniques for the Summation of Series

  • Anthony Sofo

Table of contents

  1. Front Matter
    Pages i-xv
  2. Anthony Sofo
    Pages 31-62
  3. Anthony Sofo
    Pages 63-71
  4. Anthony Sofo
    Pages 73-85
  5. Anthony Sofo
    Pages 87-109
  6. Anthony Sofo
    Pages 135-145
  7. Anthony Sofo
    Pages 147-175
  8. Back Matter
    Pages 177-189

About this book

Introduction

Computational Techniques for the Summation of Series is a text on the representation of series in closed form. The book presents a unified treatment of summation of sums and series using function theoretic methods. A technique is developed based on residue theory that is useful for the summation of series of both Hypergeometric and Non-Hypergeometric type. The theory is supported by a large number of examples. The book is both a blending of continuous and discrete mathematics and, in addition to its theoretical base; it also places many of the examples in an applicable setting. This text is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in mathematics, engineering and related fields.

Keywords

Hypergeometric function Mathematica contour integration convergence differential equation discrete mathematics integral integral equation integration residue

Authors and affiliations

  • Anthony Sofo
    • 1
  1. 1.School of Computer Science and MathematicsVictoria UniversityMelbourneAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-0057-5
  • Copyright Information Kluwer Academic / Plenum Publishers, New York 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4904-4
  • Online ISBN 978-1-4615-0057-5
  • About this book