Orthogonal Polynomials in Two Variables

by P.K. Suetin

Overview

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 orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.

Product Details

ISBN-13:	9781351426374
Publisher:	CRC Press
Publication date:	03/31/2022
Series:	Analytical Methods and Special Functions
Sold by:	Barnes & Noble
Format:	eBook
Pages:	368
File size:	58 MB
Note:	This product may take a few minutes to download.

About the Author

P.K. Suetin Technical University of Communication and Informatics, Moscow, Russia. Translated from the Russian by E.V. Pankratiev

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

Editorial Reviews

Presents a theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials. Cases of orthogonality over a region and on a contour are presented. Discusses classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials. Other subjects include admissible differential equations for polynomials orthogonal over a domain, harmonic polynomials, and potentially self-adjoint equations and the Rodrigues formula. The author is affiliated with Technical University of Communications and Informatics, Russia. Originally published in Russian in 1988 by Nauka, Moscow. This English edition contains a new chapter on the results of recent research. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews