On the Krall-type Askey-Wilson Polynomials

Abstract

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.

References in corpus (2)

• Limit relations between $q$-Krall type orthogonal polynomials
• The q-Racah-Krall-type polynomials

Cited by in corpus (2)

• Bispectral extensions of the Askey-Wilson polynomials
• The q-Racah-Krall-type polynomials