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arxiv: 1112.6019 · v2 · pith:BNE2EQTOnew · submitted 2011-12-27 · 🧮 math.CA

On the Krall-type Askey-Wilson Polynomials

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keywords polynomialsaskey-wilsonkrall-typepointsadditionbasicconsideredfamily
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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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