Asymptotic-Behavior Of Orthogonal Polynomials Corresponding To Measure With Discrete Part Off The Unit-Circle

    Authors

    X. Li;K. Pan

    Comments

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    Abbreviated Journal Title

    J. Approx. Theory

    Keywords

    Mathematics

    Abstract

    For a positive measure mu on the unit circle (Gamma) in the complex plane, m points Z(j) off Gamma and m positive numbers A(j), j = 1, 2,..., m, we investigate the asymptotic behavior of orthonormal polynomials Phi(n)(z) corresponding to d mu/2 pi + Sigma(j=1)(m)A(j) delta(zj), where delta(z) denotes the unit measure supported at point z. Our main result is the relative asymptotics of Phi(n)(z) with respect to the orthonormal polynomial corresponding to d mu/(2 pi) off and on Gamma. (C) 1994 Academic Press, Inc.

    Journal Title

    Journal of Approximation Theory

    Volume

    79

    Issue/Number

    1

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    54

    Last Page

    71

    WOS Identifier

    WOS:A1994PH18400004

    ISSN

    0021-9045

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