The Markov sequence problem for the Jacobi polynomials and on the simplex *

Dominique Bakry (1) , † L Mbarki

1 IMT - Institut de Mathématiques de Toulouse UMR5219

We provide a simplified proof of the hypergroup property for the Jacobi polyno-mials on the unit interval, and investigate various generalizations of this property for the family of Dirichlet laws on the simplex.

Domaines: Probabilités [math.PR]

Dominique Bakry, † L Mbarki. The Markov sequence problem for the Jacobi polynomials and on the simplex *. 2018. ⟨hal-01811880⟩