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  3. Encyclopedia of Special Functions: The Askey-Bateman Project
  • Cited by 7
      • Volume 1: Univariate Orthogonal Polynomials
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2020
      September 2020
      ISBN:
      9780511979156
      9780521197427
      DOI:
      https://doi.org/10.1017/9780511979156
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.81kg, 398 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Abstract Analysis, Numerical Analysis and Computational Science
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    Subjects:
    Mathematics, Abstract Analysis, Numerical Analysis and Computational Science
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    Book 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.

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