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math-ph2026
Finite-term recurrences in a generalized Bochner--Krall family
L. M. Anguas, D. Barrios Rolanía, B. Shapiro +1
We classify the differential operators \(T=z^j\partial_z^j+z^m\partial_z^\ell\), where \(0\le m<\ell\) and \(1\le j<\ell\), whose monic eigenpolynomials satisfy a finite-term recur…
math-ph2024
In search of higher Bochner theorem
Emil Horozov, Boris Shapiro, Milos Tater
We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials s…