Bound On The Extreme Zeros Of Orthogonal Polynomials

    Authors

    M. E. H. Ismail;X. Li

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    Bounds; Chain Sequences; Chihara-Wall-Wetzel Theorem; Laguerre; Polynomials; Largest Zero; Meixner Polynomials; Meixner-Pollaczek; Polynomials; Recurrence Relations; Smallest Zero; Mathematics, Applied; Mathematics

    Abstract

    Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smallest) zero of orthogonal polynomials in terms of their recurrence coefficients. We also apply our method to derive bounds for extreme zeros of the Laguerre, associated Laguerre, Meixner, and Meixner-Pollaczek polynomials. In addition, we consider bounds for the extreme zeros of Jacobi polynomials of degree n and parameters a(n) and b(n).

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    115

    Issue/Number

    1

    Publication Date

    1-1-1992

    Document Type

    Article

    Language

    English

    First Page

    131

    Last Page

    140

    WOS Identifier

    WOS:A1992HN96400019

    ISSN

    0002-9939

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