Alvarez-Nodarse, R.Adıgüzel, R. Sevinik2020-03-262020-03-2620130021-90451096-0430https://dx.doi.org/10.1016/j.jat.2012.03.001https://hdl.handle.net/20.500.12395/2969511th International Symposium on Orthogonal Polynomials, Special Functions, and Applications (OPSFA) -- AUG 29-SEP 03, 2011 -- Univ Carlos III Madrid, Leganes, SPAINIn 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. (C) 2012 Elsevier Inc. All rights reserved.en10.1016/j.jat.2012.03.001info:eu-repo/semantics/openAccessKrall-type polynomialsAskey-Wilson polynomialsSecond order linear difference equationq-polynomialsBasic hypergeometric seriesArticle1703243Q1WOS:000318378400004Q1