Interlacing of zeros of quasi-orthogonal Meixner polynomials

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Authors

Driver, K.
Jooste, Alta

Journal Title

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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.

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Keywords

Interlacing of zeros, Meixner polynomials, Quasi-orthogonal polynomials, Discrete orthogonal polynomials

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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.