Generalized Bessel function of Type D

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