Continued Fractions and Orthogonal Functions: Theory and Applications

1st Edition

S. Clement Cooper, W.J. Thron

CRC Press
Published November 17, 1993
Reference - 400 Pages
ISBN 9780824790714 - CAT# DK4884
Series: Lecture Notes in Pure and Applied Mathematics

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Summary

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.

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