On the generalized Askey�Wilson polynomials

• Autores: Renato Alvarez Nodarse, R. Sevinik Adigüzel
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 170, Nº 1, 2013, págs. 32-43
• Idioma: inglés
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• Resumen

  • 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.