On Sieved Orthogonal Polynomials .9. Orthogonality On The Unit-Circle

    Authors

    M. E. H. Ismail;L. Xin

    Comments

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    Abbreviated Journal Title

    Pac. J. Math.

    Keywords

    Intervals; Mathematics

    Abstract

    We study sieved orthogonal polynomials on the unit circle and using a result of Szego we show that there is a one to one correspondence between a family of sieved orthogonal polynomials on the unit circle and two families of sieved orthogonal polynomials on the interval [-1, 1], namely sieved polynomials of the first and second kinds. We find explicit representations of the sieved polynomials and the Herglotz transform of the measure with respect to which they are orthogonal.

    Journal Title

    Pacific Journal of Mathematics

    Volume

    153

    Issue/Number

    2

    Publication Date

    1-1-1992

    Document Type

    Article

    Language

    English

    First Page

    289

    Last Page

    297

    WOS Identifier

    WOS:A1992HJ84700006

    ISSN

    0030-8730

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