English

An orthogonality relation for multivariable Bessel polynomials

Classical Analysis and ODEs 2008-09-25 v2

Abstract

In a recent paper we introduced a multivariable generalisation of the Bessel polynomials, depending on one extra parameter, and related to the so-called hyperbolic Sutherland model with external Morse potential. In this paper we obtain a corresponding multivariable generalisation of a well-known orthogonality relation for the (one-variable) Bessel polynomials due to Krall and Frink.

Keywords

Cite

@article{arxiv.0809.3122,
  title  = {An orthogonality relation for multivariable Bessel polynomials},
  author = {Martin Hallnäs},
  journal= {arXiv preprint arXiv:0809.3122},
  year   = {2008}
}

Comments

references added, a few minor misprints corrected

R2 v1 2026-06-21T11:21:33.545Z