On the generalized Askey-Wilson polynomials

被引：1
|
作者：
Alvarez-Nodarse, R. [1 ,2 ]
Adiguzel, R. Sevinik [3 ]
机构：
[1] Univ Seville, IMUS, E-41080 Seville, Spain
[2] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain
[3] Selcuk Univ, Fac Sci, Dept Math, TR-42075 Konya, Turkey
来源：
JOURNAL OF APPROXIMATION THEORY | 2013年 / 170卷
关键词：
Krall-type polynomials; Askey-Wilson polynomials; Second order linear difference equation; q-polynomials; Basic hypergeometric series; ORTHOGONAL POLYNOMIALS;
D O I：
10.1016/j.jat.2012.03.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2012 Elsevier Inc. All rights reserved.
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页码：32 / 43
页数：12
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