Zeros of Quasi-Orthogonal Jacobi Polynomials

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2016
• Автори: Driver, K., Jordaan, K.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2016
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147743
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Zeros of Quasi-Orthogonal Jacobi Polynomials / K. Driver, K. Jordaan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 27 назв. — англ.

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...