59 citations · 227 across the 20 of their papers we have counts for
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Separating zeros of polynomials using an added interlacing point
Kerstin Jordaan, Vikash Kumar
Following a systematic analysis of existing results, we investigate when complete interlacing between the zeros of distinct polynomial sequences, and $\{\mathca…
Two-point completion of zero interlacing and Wronskian-type bounds, with applications to Jacobi and other orthogonal polynomials
Kerstin Jordaan, Vikash Kumar
We investigate completed interlacing of zeros for pairs of polynomial sequences that fail to interlace by exactly two points. Using suitable mixed recurrence relations, we identify…
Characterization of classical orthogonal polynomials in two continuous variables
Maurice Kenfack Nangho, Kerstin Jordaan, Bleriod Jiejip Nkwamouo
For a family of polynomials in two continuous variables, orthogonal with respect to a weight function, we prove, under suitable conditions, the equivalence of the following propert…
Generalised higher-order Freud weights
Peter A. Clarkson, Kerstin Jordaan, Ana Loureiro
We discuss polynomials orthogonal with respect to a semi-classical generalised higher order Freud weight \[ω(x;t,λ)=|x|^{2λ+1}\exp\left(tx^2-x^{2m}\right),\qquad x\in\mathbb{R},\]…
Generalised Airy Polynomials
Peter A. Clarkson, Kerstin Jordaan
We consider properties of semi-classical orthogonal polynomials with respect to the generalised Airy weight \[ω(x;t,λ)=x^λ\exp\left(-\tfrac13x^3+tx\right),\qquad x\in \mathbb{R}^+,…
Indeterminate moment problem associated with continuous dual q-Hahn polynomials
Kerstin Jordaan, Maurice Kenfack Nangho
We study a limiting case of the Askey-Wilson polynomials when one of the parameters goes to infinity, namely continuous dual q-Hahn polynomials when q > 1. Solutions to the associa…