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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…
quant-ph2025
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…