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arXiv · 0807.4740

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

Martin Hallnäs
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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.

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BibTeXRIS

Martin Hallnäs. 2009-01-28. Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential. https://arxiv.org/abs/0807.4740

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