349 citations · 2.2k across the 57 of their papers we have counts for
60 papers
Two Useful Facts About Generating Functions
Alex Kasman, Robert Milson
Sequences are often conveniently encoded in the form of a generating function depending on a formal variable. This note presents two observations that allow one to draw conclusions…
Exceptional Krall polynomials
Alex Kasman, Robert Milson
In this paper we exhibit and study a novel class of exceptional Krall orthogonal polynomials of Hermite type. This means that the polynomials in question are (i) orthogonal with re…
Extended Coherent States
Z. M. McIntyre, A. Kasman, R. Milson
Using the formalism of Maya diagrams and ladder operators, we describe the algebra of annihilating operators for the class of rational extensions of the harmonic oscillator. This a…
Classification of exceptional Jacobi polynomials
Maria Angeles Garcia-Ferrero, David Gomez-Ullate, Robert Milson
We provide a full classification scheme for exceptional Jacobi operators and polynomials. The classification contains six degeneracy classes according to whether or a…
Hybrid Search method for Zermelo's navigation problem
Daniel Precioso, Robert Milson, Louis Bu +2
In this paper, we present a novel algorithm called the Hybrid Search algorithm that integrates the Zermelo's Navigation Initial Value Problem with the Ferraro-Martín de Diego-Almag…
Exceptional Gegenbauer polynomials via isospectral deformation
María~Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson +1
We show a method to construct isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, and it allows to constru…