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Orthogonal polynomials /

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Bibliographic Details
Main Author: Szegő, Gábor, 1895-1985
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2003.
Edition:[4th edition].
Series:Colloquium publications (American Mathematical Society) ; v. 23.
Subjects:
Orthogonal polynomials.
Orthogonale Funktionen.
Orthogonale Polynome.
Orthogonale Polymere.
Table of Contents:
  • Definition of orthogonal polynomials; principal examples
  • General properties of orthogonal polynomials
  • Jacobi polynomials
  • Laguerre and Hermite polynomials
  • Zeros of orthogonal polynomials
  • Inequalities
  • Asymptotic properties of the classical polynomials
  • Expansion problems associated with the classical polynomials
  • Representation of positive functions
  • Polynomials orthogonal on the unit circle
  • Asymptotic properties of general orthogonal polynomials
  • Expansion problems associated with general orthogonal polynomials
  • Interpolation
  • Mechanical quadrature
  • Polynomials orthogonal on an arbitrary curve.