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Encyclopedia of Special Functions: The Askey-Bateman Project

Volume 1. Univariate Orthogonal Polynomials

$79.99 (P)

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
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  • Date Published: October 2020
  • availability: In stock
  • format: Hardback
  • isbn: 9780521197427

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About the Authors
  • 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
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    Product details

    • Date Published: October 2020
    • format: Hardback
    • isbn: 9780521197427
    • length: 398 pages
    • dimensions: 250 x 177 x 26 mm
    • weight: 0.81kg
    • availability: In stock
  • 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.

  • Editor

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

    Assisted by

    Walter Van Assche, Katholieke Universiteit Leuven, Belgium

    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

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