On the properties of special functions on the linear-type lattices

被引：5
|
作者：
Alvarez-Nodarse, R. [1 ,2 ]
Cardoso, J. L. [3 ,4 ]
机构：
[1] Univ Seville, Fac Matemat, IMUS, E-41080 Seville, Spain
[2] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
[3] Univ Tros Os Montes & Alto Douro, CM UTAD, P-5001911 Vila Real, Portugal
[4] Univ Tros Os Montes & Alto Douro, Dept Matemat, P-5001911 Vila Real, Portugal
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 405卷 / 01期
关键词：
q-hypergeometric functions; Difference equations; Recurrence relations; q-polynomials;
D O I：
10.1016/j.jmaa.2013.03.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a general theory for studying the difference analogs of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear difference equation of hypergeometric type on a special kind of lattices: the linear type lattices. In particular, using the integral representation of the solutions we obtain several difference-recurrence relations for such functions. Finally, applications to q-classical polynomials are given. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：271 / 285
页数：15
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