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Hardcover Orthogonal Rational Functions Book

ISBN: 0521650062

ISBN13: 9780521650069

Orthogonal Rational Functions

(Part of the Cambridge Monographs on Applied and Computational Mathematics Series)

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Format: Hardcover

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Book Overview

This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics,...

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