Advertisement

Special Functions: Group Theoretical Aspects and Applications

  • R. A. Askey
  • T. H. Koornwinder
  • W. Schempp

Part of the Mathematics and Its Applications book series (MAIA, volume 18)

Table of contents

  1. Front Matter
    Pages i-xxxiv
  2. Dennis Stanton
    Pages 87-128
  3. L. C. Biedenharn, R. A. Gustafson, M. A. Lohe, J. D. Louck, S. C. Milne
    Pages 129-162
  4. R. W. Beals, P. C. Greiner, J. Vauthier
    Pages 189-216
  5. J. J. Seidel
    Pages 287-303
  6. Back Matter
    Pages 305-313

About this book

Introduction

Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad in Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Keywords

calculus filtering harmonic analysis Hypergeometric function integrable system measure measure theory orthogonal polynomials special function

Editors and affiliations

  • R. A. Askey
    • 1
  • T. H. Koornwinder
    • 2
  • W. Schempp
    • 3
  1. 1.Mathematics DepartmentUniversity of WisconsinMadisonUSA
  2. 2.Centre for Mathematics and Computer ScienceAmsterdamThe Netherlands
  3. 3.Department of MathematicsUniversity of SiegenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-9787-1
  • Copyright Information Springer Science+Business Media B.V. 1984
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0319-6
  • Online ISBN 978-94-010-9787-1
  • Buy this book on publisher's site
Industry Sectors
Pharma
Finance, Business & Banking
Electronics
Aerospace
Oil, Gas & Geosciences