An orthogonality relation for multivariable Bessel polynomials

2008/09/18 by Martin Hallnäs, Hallnäs, Martin
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0809.3122

openalex publication_date 2008/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

Citations

• Über Sturm-Liouvillesche Polynomsysteme

Cited by

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

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