Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential
Quantum Algebra
2009-01-28 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
A 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.
Cite
@article{arxiv.0807.4740,
title = {Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential},
author = {Martin Hallnäs},
journal= {arXiv preprint arXiv:0807.4740},
year = {2009}
}
Comments
a few minor misprints corrected