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An orthogonality relation for multivariable Bessel polynomials

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journal contribution
posted on 28.02.2013, 14:52 by Martin Hallnas
In a recent paper we introduced a multivariable generalization of the Bessel polynomials, depending on one extra parameter, and related to the so-called hyperbolic Calogero–Moser–Sutherland model with external Morse potential. In this paper, we obtain a corresponding multivariable generalization of a well-known orthogonality relation for the (one-variable) Bessel polynomials due to Krall and Frink [H.L. Krall and O. Frink, A new class of orthogonal polynomials: the Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), pp. 100–115].

History

School

  • Science

Department

  • Mathematical Sciences

Citation

HALLNÄS, M., 2010. An orthogonality relation for multivariable Bessel polynomials. Integral Transforms and Special Functions, 21 (4), pp. 277 - 287.

Publisher

© Taylor & Francis

Version

AM (Accepted Manuscript)

Publication date

2010

Notes

This article was published in the journal, Integral Transforms and Special Functions [© Taylor & Francis] and the definitive version is available at: http://dx.doi.org/10.1080/10652460903211312

ISSN

1065-2469

eISSN

1476-8291

Language

en

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