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5 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…
Orthogonality with Respect to the Hermite Product, KP Wave Functions, and the Bispectral Involution
Alex Kasman, Rob Milson, Michael Gekhtman
It is well known that for any wave function of the KP hierarchy, there is another wave function called its ''adjoint'' such that the path integral of their product 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…
Exceptional Hermite Polynomials and Calogero-Moser Pairs
Luke Paluso, Alex Kasman
There are two equivalent descriptions of George Wilson's adelic Grassmannian , one in terms of differential ``conditions'' and another in terms of Calogero-Moser Pairs. Th…