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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
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 $α\pm΅