文章基本信息

标题：Applications of a generalized q -difference equation
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作者：Jian-Ping Fang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：267
DOI：10.1186/1687-1847-2014-267
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish one general q-exponential operator identity by solving one simple q-difference equation. Using this q-difference equation, we get some generalizations of Andrews-Askey and Askey-Wilson integral. In addition, we also discuss some properties of q-polynomials H n . MSC:33D05, 33D45, 11B65, 33D60.
关键词：q -difference equation ; Andrews-Askey integral ; Askey-Wilson integral ; q -exponential operator ; q -polynomials