On the generalized Askey–Wilson polynomials
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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.
Scientific and Technological Research Council of Turkey
Ministerio de Economía y Competitividad
Fondo Europeo de Desarrollo Regional
Junta de Andalucía
- University of Seville Spain
- Selçuk University Turkey
q-polynomials, Askey-Wilson polynomials, Krall-type polynomials, second order linear difference equation, basic hypergeometric series, Second order linear difference equation, Basic hypergeometric series
q-polynomials, Askey-Wilson polynomials, Krall-type polynomials, second order linear difference equation, basic hypergeometric series, Second order linear difference equation, Basic hypergeometric series
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