Properties of the zeros of the polynomials belonging to the q-Askey scheme

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Bihun, Oksana^1,2  Calogero, Francesco^3,4 

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80918 USA

[2] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[3] Univ Roma La Sapienza, Dept Phys, I-00185 Rome, Italy

[4] Ist Nazl Fis Nucl, Sez Roma, Rome, Italy

关键词: q-Askey scheme;    Askey-Wilson polynomials;    q-Racah polynomials;    Zeros of polynomials;    Diophantine relations;    Isospectral matrices;   

DOI  :  10.1016/j.jmaa.2015.07.066

来源: Elsevier

【 摘 要 】

In this paper we provide properties which are, to the best of our knowledge, new of the zeros of the polynomials belonging to the q-Askey scheme. These findings include Diophantine relations satisfied by these zeros when the parameters characterizing these polynomials are appropriately restricted. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free