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math.CA2025
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…
math.CA2025
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…
math.CA2025
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…