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Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials
Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials

Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials


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About the Book

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. Durán and F. Alberto Grünbaum; 13. Some families of matrix valued Jacobi orthogonal polynomials F. Alberto Grünbaum, I. Pacharoni and J. A. Tirao; References; Index.

About the Author :
Mourad E. H. Ismail is Research Professor at the University of Central Florida.


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Product Details
  • ISBN-13: 9781108764339
  • Publisher: Cambridge University Press (Virtual Publishing)
  • Publisher Imprint: Cambridge University Press (Virtual Publishing)
  • Language: English
  • ISBN-10: 1108764339
  • Publisher Date: 02 Sep 2020
  • Binding: Digital download and online


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Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials
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Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials
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