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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2008 Volume 4, 075, 7 pp. (Mi sigma328)
This article is cited in 8 papers

Generalized Bessel function of Type $D$

Nizar Demni

SFB 701, Fakultät für Mathematik, Universität Bielefeld, Deutschland

Abstract: We write down the generalized Bessel function associated with the root system of type $D$ by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type $D$.

Keywords: radial Dunkl processes; Brownian motions in Weyl chambers; generalized Bessel function; multivariate hypergeometric series.

MSC: 33C20; 33C52; 60J60; 60J65

Received: July 1, 2008; in final form October 24, 2008; Published online November 4, 2008

Language: English

DOI: 10.3842/SIGMA.2008.075



Bibliographic databases:
ArXiv: 0811.0507

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