2134/11818 Martin Hallnas Martin Hallnas Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential Loughborough University 2013 untagged Mathematical Sciences not elsewhere classified 2013-02-28 14:31:26 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Multivariable_Bessel_polynomials_related_to_the_hyperbolic_Sutherland_model_with_external_Morse_potential/9389075 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.