Generalizations of classical summation theorems for the series 2 F 1 and 3 F 2 with applications
Generalizations of classical summation theorems for the series 2 F 1 and 3 F 2 with applications
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DOI：
10.1080/10652469.2010.549487
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发表时间：
2011-03
影响因子：
1
通讯作者：
M. Rakha;A. Rathie
中科院分区：
文献类型：
--
作者：
M. Rakha;A. Rathie
众所周知，关于级数2F1的Gauss、Gauss第二、Kummer和Bailey以及级数3F2的Watson、Dixon和Whiple等经典求和定理在超几何级数和广义超几何级数理论中占有重要的地位。这些求和定理的应用是众所周知的。本文的目的是给出上述经典求和定理在最一般情况下的推广。
It is well known that classical summation theorems such as of Gauss, Gauss second, Kummer and Bailey for the series 2 F 1 and Watson, Dixon and Whipple for the series 3 F 2 play an important role in the theory of hypergeometric and generalized hypergeometric series. Applications of these summation theorems are well known. The aim of this research paper is to provide the generalizations of the above-mentioned classical summation theorems in the most general case.