Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential
journal contributionposted on 2013-02-28, 14:31 authored by Martin Hallnas
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.
- Mathematical Sciences
CitationHALLNÄS, M., 2009. Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential. International Mathematics Research Notices, 2009 (9), pp. 1573 - 1611.
PublisherOxford University Press © the author
- AM (Accepted Manuscript)
NotesThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version [Hallnas, M., 2009. Multivariable Bessel Polynomials Related to the Hyperbolic Sutherland Model with External Morse Potential. International Mathematics Research Notices, 2009 (9), pp. 1573–1611] is available online at: http://dx.doi.org/10.1093/imrn/rnn167