Interlacing of zeros of quasi-orthogonal Meixner polynomials
Loading...
Date
Authors
Driver, K.
Jooste, Alta
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis
Abstract
We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials Mn(x; β, c) with the zeros of their nearest orthogonal counterparts Ml(x; β + k, c), l, n ∈ ℕ, k ∈ {1, 2}, is also discussed.
Description
Keywords
Interlacing of zeros, Meixner polynomials, Quasi-orthogonal polynomials, Discrete orthogonal polynomials
Sustainable Development Goals
Citation
K. Driver & A. Jooste (2017) Interlacing of zeros of quasi-orthogonal Meixner polynomials, Quaestiones Mathematicae, 40:4, 477-490, DOI: 10.2989/16073606.2017.1298681.