文章基本信息

标题：On a new class of double integrals involving hypergeometric function
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作者：Medhat A. Rakha
期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2012
卷号：2012
DOI：10.5899/2012/jiasc-00004
出版社：ISPACS GmbH
摘要：The aim of this research paper is to provide a large number of double integrals in the form of four master formulas. A large number of very interesting integrals follow special cases of our main findings. These results are obtained with the help of contiguous extensions of classical summation theorems such as of Watson, Dixon and Whipple on the sum of a $_3F_{2}$. The double integrals established in this paper are simple, interesting, easily established and may be useful.
关键词：$q+1$ $F$ $q$ hypergeometric functions; general hypergeometric functions; integral representations