Title

Determinants with orthogonal polynomial entries

Authors

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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