38 citations · 98 across the 7 of their papers we have counts for
7 papers
Asymptotic behavior of Wronskian polynomials that are factorized via -cores and -quotients
Niels Bonneux
In this paper we consider Wronskian polynomials labeled by partitions that can be factorized via the combinatorial concepts of -cores and -quotients. We obtain the asymptotic…
Coefficients of Wronskian Hermite polynomials
Niels Bonneux, Clare Dunning, Marco Stevens
We study Wronskians of Hermite polynomials labelled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients. T…
Recurrence relations for Wronskian Laguerre polynomials
Niels Bonneux, Marco Stevens
The 3-term recurrence relation for Hermite polynomials was recently generalized to a recurrence relation for Wronskians of Hermite polynomials. In this note, a similar generalizati…
Wronskian Appell Polynomials and Symmetric Functions
Niels Bonneux, Zachary Hamaker, John Stembridge +1
We study Wronskians of Appell polynomials indexed by integer partitions. These families of polynomials appear in rational solutions of certain Painlevé equations and in the study o…
Exceptional Jacobi polynomials
Niels Bonneux
In this paper we present a systematic way to describe exceptional Jacobi polynomials via two partitions. We give the construction of these polynomials and restate the known aspects…
Recurrence Relations for Wronskian Hermite Polynomials
Niels Bonneux, Marco Stevens
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of o…
Exceptional Laguerre polynomials
Niels Bonneux, Arno B. J. Kuijlaars
The aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way, and to provide new asymptotic results on the location of the zeros. To…