Generalized Bessel function of Type D
Copyright policy )Generalized Bessel function of Type D
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/
- Bielefeld University Germany
Generalized hypergeometric series, \({}_pF_q\), Probability (math.PR), Brownian motions in Weyl chambers, Orthogonal polynomials and functions associated with root systems, Mathematics - Classical Analysis and ODEs, QA1-939, generalized Bessel function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, multivariate hypergeometric series, radial Dunkl processes, Brownian motion, Diffusion processes, Mathematics, Mathematics - Probability
Generalized hypergeometric series, \({}_pF_q\), Probability (math.PR), Brownian motions in Weyl chambers, Orthogonal polynomials and functions associated with root systems, Mathematics - Classical Analysis and ODEs, QA1-939, generalized Bessel function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, multivariate hypergeometric series, radial Dunkl processes, Brownian motion, Diffusion processes, Mathematics, Mathematics - Probability
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