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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 083, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.083
(Mi sigma336)
 

This article is cited in 6 scientific papers (total in 6 papers)

A Limit Relation for Dunkl–Bessel Functions of Type A and B

Margit Röslera, Michael Voitb

a Institut für Mathematik, TU Clausthal, Erzstr. 1, D-38678 Clausthal-Zellerfeld, Germany
b Fachbereich Mathematik, TU Dortmund, Vogelpothsweg 87, D-44221 Dortmund, Germany
Full-text PDF (241 kB) Citations (6)
References:
Abstract: We prove a limit relation for the Dunkl–Bessel function of type $B_N$ with multiplicity parameters $k_1$ on the roots $\pm e_i$ and $k_2$ on $\pm e_i\pm e_j$ where $k_1$ tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkl-type Bessel function of type $A_{N-1}$ with multiplicity $k_2$. For certain values of $k_2$ an improved estimate is obtained from a corresponding limit relation for Bessel functions on matrix cones.
Keywords: Bessel functions; Dunkl operators; asymptotics.
Received: October 21, 2008; in final form November 26, 2008; Published online December 3, 2008
Bibliographic databases:
Document Type: Article
MSC: 33C67; 43A85; 20F55
Language: English
Citation: Margit Rösler, Michael Voit, “A Limit Relation for Dunkl–Bessel Functions of Type A and B”, SIGMA, 4 (2008), 083, 9 pp.
Citation in format AMSBIB
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\by Margit R\"osler, Michael Voit
\paper A~Limit Relation for Dunkl--Bessel Functions of Type~A and~B
\jour SIGMA
\yr 2008
\vol 4
\papernumber 083
\totalpages 9
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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