On the Krall-type Askey-Wilson Polynomials

Details On the Krall-type Askey-Wilson Polynomials On the Krall-type Askey-Wilson Polynomials

2011-12-27

arxiv.org/abs/1112.6019v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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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