Determinants with orthogonal polynomial entries

    Authors

    M. E. H. Ismail

    Comments

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    Abbreviated Journal Title

    J. Comput. Appl. Math.

    Keywords

    Turin determinants; moments; Hankel determinants; Al-Salam-Chihara; polynomials; q-ultraspherical polynomials; JACOBI POLYNOMIALS; REPRESENTATIONS; INEQUALITY; FORMULAS; Mathematics, Applied

    Abstract

    We use moment representations of orthogonal polynomials to evaluate the corresponding Hankel determinants formed by the orthogonal polynomials. We also study the Hankel determinants which start with p(n) on the top left-hand corner. As examples we evaluate the Hankel determinants whose entries are q-ultraspherical or Al-Salam-Chihara polynomials. (c) 2004 Elsevier B.V. All rights reserved.

    Journal Title

    Journal of Computational and Applied Mathematics

    Volume

    178

    Issue/Number

    1-2

    Publication Date

    1-1-2005

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    255

    Last Page

    266

    WOS Identifier

    WOS:000228030600020

    ISSN

    0377-0427

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