Univariate orthogonal polynomials
Author(s)
Bibliographic Information
Univariate orthogonal polynomials
（Encyclopedia of special functions : the Askey-Bateman project, vol. 1）
Cambridge University Press, c2020
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. [357]-383) and index
Description and Table of Contents
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.
Table of Contents
- 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 Grunbaum
- 13. Some families of matrix valued Jacobi orthogonal polynomials F. Alberto Grunbaum, I. Pacharoni and J. A. Tirao
- References
- Index.
by "Nielsen BookData"
