Zeros of Quasi-Orthogonal Jacobi Polynomials

We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by α>−1, −2<β<−1. We give necessary and sufficient conditions under which a conjecture by Askey, that the zeros of Jacobi polynomials P(α,β)n and P(α,β+2)n are interla...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2016
Main Authors: Driver, K., Jordaan, K.
Format: Article
Language:English
Published: Інститут математики НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147743
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Zeros of Quasi-Orthogonal Jacobi Polynomials / K. Driver, K. Jordaan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine