Theory and Application of Special Functions

Theory and Application of Special Functions

Proceedings of an Advanced Seminar Sponsored by the Mathematics Research Center, the University of Wisconsin-Madison, March 31-April 2, 1975

1st Edition - January 28, 1975

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  • Editor: Richard Askey
  • eBook ISBN: 9781483216164

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Description

Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.

Table of Contents


  • Foreword

    Preface

    Computational Methods in Special Functions-A Survey

    Unsolved Problems in the Asymptotic Estimation of Special Functions

    Periodic Bernoulli Numbers, Summation Formulas and Applications

    Problems and Prospects for Basic Hypergeometric Functions

    An Introduction to Association Schemes and Coding Theory

    Linear Growth Models with Many Types and Multidimensional Hahn Polynomials

    Orthogonal Polynomials Revisited

    Symmetry, Separation of Variables, and Special Functions

    Nicholson-Type Integrals for Products of Gegenbauer Functions and Related Topics

    Positivity and Special Functions

    Two-Variable Analogues of the Classical Orthogonal Polynomials

    Special Functions of Matrix and Single Argument in Statistics

    Some Properties of Determinants of Orthogonal Polynomials

    Index

Product details

  • No. of pages: 572
  • Language: English
  • Copyright: © Academic Press 1975
  • Published: January 28, 1975
  • Imprint: Academic Press
  • eBook ISBN: 9781483216164

About the Editor

Richard Askey

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