Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials
Published on 2. September 2020
978-1-108-76433-9 (ISBN)
Description
This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to the Askey-Wilson polynomials, which are the most general basic hypergeometric orthogonal polynomials. Separate chapters cover orthogonal polynomials on the unit circle, zeros of orthogonal polynomials and matrix orthogonal polynomials, with detailed results about matrix-valued Jacobi polynomials. A chapter on moment problems provides many examples of indeterminate moment problems. A thorough bibliography rounds off what will be an essential reference.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
4,14 MB
ISBN-13
978-1-108-76433-9 (9781108764339)
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Schweitzer Classification
Other editions
Additional editions
Mourad E. H. Ismail
Encyclopedia of Special Functions: The Askey-Bateman Project
Book
09/2020
Cambridge University Press
€92.00
Shipment within 15-20 days
Persons
Mourad E. H. Ismail is Research Professor at the University of Central Florida.
Content
1. Preliminaries Mourad E. H. Ismail; 2. General orthogonal polynomials Mourad E. H. Ismail; 3. Jacobi and related polynomials Mourad E. H. Ismail; 4. Recursively defined polynomials Mourad E. H. Ismail; 5. Wilson and related polynomials Mourad E. H. Ismail; 6. Discrete orthogonal polynomials Mourad E. H. Ismail; 7. Some q-orthogonal polynomials Mourad E. H. Ismail; 8. The Askey-Wilson family of polynomials Mourad E. H. Ismail; 9. Orthogonal polynomials on the unit circle Leonid Golinskii; 10. Zeros of orthogonal polynomials Andrea Laforgia and Martin E. Muldoon; 11. The moment problem Christian Berg and Jacob S. Christiansen; 12. Matrix valued orthogonal polynomials and differential equations Antonio J. Duran and F. Alberto Gruenbaum; 13. Some families of matrix valued Jacobi orthogonal polynomials F. Alberto Gruenbaum, I. Pacharoni and J. A. Tirao; References; Index.
