Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Tcheutia, D.D., Jooste, A.S., Koepf, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209521
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials / D.D. Tcheutia, A.S. Jooste, W. Koepf // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 27 назв. — англ.

We show how to obtain linear combinations of polynomials in an orthogonal sequence {Pn}n≥0, that characterize quasi-orthogonal polynomials of order k ≤ n-1. The polynomials in the sequence {Qn,k}n≥0 are obtained from Pn, by making use of parameter shifts. We use an algorithmic approach to find thes...