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arXiv · 1112.6019

On the Krall-type Askey-Wilson Polynomials

R. Alvarez-Nodarse·R. Sevinik-Adiguzel
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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 $\pm1$. Several properties of such new family are considered, in particular the three-term recurrence relation and the representation as basic hypergeometric series.

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R. Alvarez-Nodarse, R. Sevinik-Adiguzel. 2012-03-09. On the Krall-type Askey-Wilson Polynomials. https://doi.org/10.1016/j.jat.2012.03.001

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