On the Krall-type Askey-Wilson Polynomials

In this paper the general Krall-type Askey-Wilson polynomials are 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 $\pm 1$. Several properties of such new family are considered, in particular the three-term recurrence relation and the representation as basic hypergeometric series.