1st Edition

Continued Fractions and Orthogonal Functions
Theory and Applications

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ISBN 9780824790714
Published November 17, 1993 by CRC Press
400 Pages

USD $375.00

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Book Description

This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.

Table of Contents

Discrete distribution functions for log-normal moments, Catherine M. Bonan-Hamada et al; recurrence relations for orthogonal functions, A. Bultheel et al; orthogonal Laurent polynomials on the red line, Lyle Cochrane and S. Clement-Cooper; separate convergence for log-normal modified S-Fractions, S. Clement Cooper et al; best truncation error bounds for continued fractions, C.Craviotto et al; sequences of linear fractional transformations and reverse continued fractions, John Gill; an alternative way of using Szego polynomials in frequency analysis, William B. Jones; asymptotics of zeros of orthogonal and para-orthogonal Szego polynomials in frequency analysis, William B. Jones; continued fractions and interacted function systems, Johan Karlsson and Hans Wallin; strip convergence regions for continued fractions, L.J. Lange; continued fraction representations for functions related to the gamma function, L.J. Lange; a convergence property for sequences of linear fractional transformations, Lisa Lorentzen; circular twin value sets for continued fractions and how they imply convergence, Lisa Lorentzen; a Szego quadrature formula arising from q-starlike functions, Frode Ronning; truncation error for L.F.T. algorithms {Tn(w)}, W.J. Thron; a limit theorem in frequency analysis, Haakon Waadeland.

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