1st Edition

Continued Fractions and Orthogonal Functions Theory and Applications

Edited By S. Clement Cooper, W.J. Thron Copyright 1993
    400 Pages
    by CRC Press

    400 Pages
    by CRC Press

    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.

    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.

    Biography

    S. Clement Cooper (Edited by)