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Encyclopedia of Special Functions: The Askey-Bateman Project

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Encyclopedia of Special Functions: The Askey-Bateman Project

Encyclopedia of Special Functions: The Askey-Bateman Project

Volume 1: Univariate Orthogonal Polynomials
Mourad E. H. Ismail , University of Central Florida
Walter Van Assche , Katholieke Universiteit Leuven, Belgium
September 2020
1. Univariate Orthogonal Polynomials
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Hardback
9780521197427

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    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.

    • A necessary update of the Bateman Manuscript Project for the twenty-first century
    • Offers an encyclopedic source of various properties and formulas for special functions
    • Now includes special functions not treated elsewhere

    Product details

    September 2020
    Hardback
    9780521197427
    398 pages
    250 × 177 × 26 mm
    0.81kg
    Available

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    Contents

    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.
      • Show more

    Look inside

    Courses
    Resources
    Additional Information
    About the authors
      Contributors

    • Mourad E. H. Ismail, Leonid Golinskii, Andrea Laforgia, Martin E. Muldoon, Christian Berg, Jacob S. Christiansen, Antonio J. Durán, F. Alberto Grünbaum, I. Pacharoni, J. A. Tirao

      • Editor
    • Mourad E. H. Ismail , University of Central Florida

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

    • Walter Van Assche , Katholieke Universiteit Leuven, Belgium

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