12 citations · 24 across the 4 of their papers we have counts for
6 papers
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…
Equivalent symmetric kernels of determinantal point processes
Marco Stevens
Determinantal point processes are point processes whose correlation functions are given by determinants of matrices. The entries of these matrices are given by one fixed function o…
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…
Universality for conditional measures of the Bessel point process
Leslie Molag, Marco Stevens
The Bessel point process is a rigid point process on the positive real line and its conditional measure on a bounded interval is almost surely an orthogonal polynomial ense…
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…
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…