Resumen de On the generalized Askey�Wilson polynomials

Renato Alvarez Nodarse , R. Sevinik Adigüzel

• In this paper, a generalization of Askey�Wilson polynomials is introduced. These polynomials are obtained from the Askey�Wilson polynomials via the addition of two mass points to the weight function of them at the points ±1. Several properties of such new family are considered, in particular, the three-term recurrence relation and the representation as basic hypergeometric series.