Some characterizations of Dunkl-classical orthogonal polynomials

In this paper, we present three characterizations of Dunkl-classical orthogonal polynomials. The first one is a -distributional equation of Pearson type fulfilled by its associated form, where is the Dunkl operator. The second is a first order linear -difference equation with polynomial coefficients satisfied by the corresponding Stieltjes function. The third is the so-called structure relation fulfilled by Dunkl–classical polynomials.