A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas

    Authors

    D. K. Dimitrov; M. E. H. Ismail;A. S. Ranga

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    Abbreviated Journal Title

    Appl. Numer. Math.

    Keywords

    Hypergeometric polynomials; Para-orthogonal polynomials; Quadrature; rules; FREQUENCY-ANALYSIS; Mathematics, Applied

    Abstract

    The class of hypergeometric polynomials F-2(1) (-m, b; b + (b) over bar; 1 - z) with respect to the parameter b = lambda + i eta, where lambda > 0, are known to have all their zeros simple and exactly on the unit circle vertical bar z vertical bar = 1. In this note we look at some of the associated extremal and orthogonal properties on the unit circle and on the interval (-1, 1). We also give the associated Gaussian type quadrature formulas. (c) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

    Journal Title

    Applied Numerical Mathematics

    Volume

    65

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    41

    Last Page

    52

    WOS Identifier

    WOS:000314447900003

    ISSN

    0168-9274

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