Generalized Bessel function of Type D

Mathematics – Probability

Scientific paper

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This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability

Scientific paper

10.3842/SIGMA.2008.075

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 $D$.

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