Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential

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dc.creatorHallnäs, Martin
dc.date2008-07-29
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:34:43Z
dc.date.available2026-07-07T12:34:43Z
dc.descriptionA 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.
dc.descriptiona few minor misprints corrected
dc.identifierhttps://arxiv.org/abs/0807.4740
dc.identifierhttp://arxiv.org/abs/0807.4740
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217534
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleMultivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential
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