Hypergeometric Functions and Their Applications

  • James B. Seaborn

Part of the Texts in Applied Mathematics book series (TAM, volume 8)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. James B. Seaborn
    Pages 1-14
  3. James B. Seaborn
    Pages 15-40
  4. James B. Seaborn
    Pages 41-51
  5. James B. Seaborn
    Pages 53-68
  6. James B. Seaborn
    Pages 69-80
  7. James B. Seaborn
    Pages 81-98
  8. James B. Seaborn
    Pages 99-128
  9. James B. Seaborn
    Pages 129-153
  10. James B. Seaborn
    Pages 155-169
  11. James B. Seaborn
    Pages 171-196
  12. James B. Seaborn
    Pages 197-212
  13. James B. Seaborn
    Pages 213-244
  14. Back Matter
    Pages 245-250

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi­ neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g. , quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu­ late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).

Keywords

applied mathematics calculus complex analysis differential equation mechanics quantum mechanics

Authors and affiliations

  • James B. Seaborn
    • 1
  1. 1.Department of PhysicsUniversity of RichmondUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-5443-8
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3097-2
  • Online ISBN 978-1-4757-5443-8
  • Series Print ISSN 0939-2475
  • About this book