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On the generalized Askey-Wilson polynomials


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Author: Álvarez Nodarse, Renato
Sevinik Adigüzel, Rezan
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2013-06
Published in: Journal of Approximation Theory, 170, 32-43.
Document type: Article
Abstract: In this paper a generalization of Askey-Wilson polynomials is 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 ±1. Several properties of such new family are considered, in particular the three-term recurrence relation and the representation as basic hypergeometric series.
Cite: Álvarez Nodarse, R. y Sevinik Adigüzel, R. (2013). On the generalized Askey-Wilson polynomials. Journal of Approximation Theory, 170, 32-43.
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DOI: 10.1016/j.jat.2012.03.001

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