On the generalized Askey-Wilson polynomials

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.Ministerio de Economía y CompetitividadJunta de AndalucíaFondo Europeo de Desarrollo RegionalScientific and Technological Research Council of Turke