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Orthogonal polynomials in two variables /

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Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogona...

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Bibliographic Details
Main Author: Suetin, P. K. (Pavel Kondratʹevich)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: [Place of publication not identified] : Routledge, 2022.
Edition:First edition.
Series:Analytical methods and special functions ; v. 3.
Subjects:
Orthogonal polynomials.
Polynômes orthogonaux.
MATHEMATICS > General.
MATHEMATICS > Differential Equations.
Orthogonal polynomials
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Chapter I. General properties of polynomials orthogon all over a domain Chapter II. Some typical examples and special cases of orthogonality over a domain, Chapter III. Classical Appell's orthogon al polynomials, Chapter IV . Admissible differential equation for polynomials orthogon al over a domain, Chapter V . Potentially self-adjoint equation and Rodrigues formula Chapter V I. Harmonic polynomials orthogon al over a domain Chapter V II. Polynomials in two variables orthogon al on a contour Chapter V III. Generalized orthogon al polynomials in two Variables Chapter IX . Other results concerning the connection between orthogon alpolynomials and differential equations, Chapter X . Original results of T. Koornwinder, Chapter X I. Some recent results