doiSerbia

Dp,q-classical orthogonal polynomials: An algebraic approach

Sghaier Mabrouk (Institut Supeur d’Informatique de Medenine. Medenine, Tunisia), sghaier.mabrookbelhedi580@gmail.com
Zaatra Mohamed (Institut Supeur des Sciences et Techniques des Eaux de Gab Gab, Tunisia), medzaatra@yahoo.fr
Mechri Mehdi (Facults Sciences de Gab route de Medenine Gab Tunisia), mehdi_mechri@yahoo.fr

In this paper, we introduce a new technical method for the study of the Dp,q-classical orthogonal polynomials where Dp,q is the (p,q)-difference operator, using basically an algebraic approach. Some new characterizations are given. The approach has been illustrated with three examples.

Keywords: Orthogonal polynomials, (p,q)-difference operator, (p,q)-classical polynomial, Rodrigues formula, Recurrence relation