- journal article metadata
European Mathematical Society Publishing House
2017-03-24 14:03:38
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
33
2017
1
Hypergroup properties for the deltoid model
Dominique
Bakry
Université Paul Sabatier, TOULOUSE CEDEX 9, FRANCE
Olfa
Zribi
ISTIC, BEN AROUS, TUNISIA
Markov sequence, orthogonal polynomials, hypergroup, diffusion processes, diffusion operators
We investigate the hypergroup property for the family of orthogonal polynomials associated with the deltoid curve in the plane, related to the $A_2$ root system. This provides also the same property for another family of polynomials related to the $G_2$ root system.
Probability theory and stochastic processes
Group theory and generalizations
Special functions
Abstract harmonic analysis
195
218
10.4171/RMI/933
http://www.ems-ph.org/doi/10.4171/RMI/933