Title

Determinants With Orthogonal Polynomial Entries

Keywords

Al-Salam-Chihara polynomials; Hankel determinants; Moments; q-ultraspherical polynomials; Turán determinants

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 pn on the top left-hand corner. As examples we evaluate the Hankel determinants whose entries are q-ultraspherical or Al-Salam-Chihara polynomials. © 2004 Elsevier B.V. All rights reserved.

Publication Date

6-1-2005

Publication Title

Journal of Computational and Applied Mathematics

Volume

178

Issue

1-2 SPEC. ISS.

Number of Pages

255-266

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cam.2004.01.042

Socpus ID

14844347580 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/14844347580

This document is currently not available here.

Share

COinS