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.