A multivariable generalization 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
