Hallnas-MULTIVARIABLE BESSEL POLYNOMIALS.pdf (309 kB)
Download fileMultivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential
journal contribution
posted on 2013-02-28, 14:31 authored by Martin HallnasA 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.
History
School
- Science
Department
- Mathematical Sciences
Citation
HALLNÄS, M., 2009. Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential. International Mathematics Research Notices, 2009 (9), pp. 1573 - 1611.Publisher
Oxford University Press © the authorVersion
- AM (Accepted Manuscript)
Publication date
2009Notes
This 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/rnn167ISSN
1073-7928eISSN
1687-0247Publisher version
Language
- en