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 $D$.

This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (3)

• The Calogero-Sutherland Model and Generalized Classical Polynomials
• A chaotic representation property of the multidimensional Dunkl processes
• Skew-product representations of multidimensional Dunkl Markov processes

Cited by in corpus (4)

• Limit theorems for multivariate Bessel processes in the freezing regime
• First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
• Freezing Limits for Beta-Cauchy Ensembles
• Product formula for Jacobi polynomials, spherical harmonics and generalized Bessel function of dihedral type