2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217534A multivariable generalisation of the Bessel polynomials is introduced and studied. In particular, we deduce their series expansion in Jack polynomials, a limit transition from multivariable Jacobi polynomials, a sequence of algebraically independent eigenoperators, Pieri type recurrence relations, and certain orthogonality properties. We also show that these multivariable Bessel polynomials provide a (finite) set of eigenfunctions of the hyperbolic Sutherland model with external Morse potential.a few minor misprints correctedQuantum AlgebraMathematical PhysicsClassical Analysis and ODEstext