文章基本信息

标题：On a new class of summation formulas involving the generalized hypergeometric F 2 2 polynomial
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作者：Arjun K. Rathie ; Adem Kılıçman
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：43
DOI：10.1186/1687-1847-2014-43
语种：English
出版社：Hindawi Publishing Corporation
摘要：The aim of this research paper is to establish a quite general transformation involving the generalized hypergeometric function. Extensions of Kummer’s first transformation, Gauss and Kummer summation, and its contiguous results are then applied to obtain a new class of summation formulas involving the generalized hypergeometric F 2 2 polynomial, which have not previously appeared in the literature. A few well-known results obtained earlier by Kim et al. (Int. J. Math. Math. Sci. 2010:309503, 2010; Integral Transforms Spec. Funct. 23(6):435-444, 2012) and Exton have been obtained as special cases of our main findings. MSC:33C15, 33C20.
关键词：generalized hypergeometric series ; extension of Gauss and Kummer summation theorems ; polynomial