A family of summation formulas on the Fox–Wright function

A family of summation formulas on the Fox–Wright function
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DOI:
10.1016/j.jmaa.2012.03.008
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发表时间:
2012-09
影响因子:
1.3
通讯作者:
Chuanan Wei;Dianxuan Gong;Haiyan Hao
Chuanan Wei;Dianxuan Gong;Haiyan Hao
中科院分区:
数学3区
文献类型:
--
作者:
Chuanan Wei;Dianxuan Gong;Haiyan Hao

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通过将Gould-Hsu反演的三重形式应用于Pfaff-Saalschütz定理,建立了Fox-Wright函数的一族求和公式,它包含了Chen和Chu(2011)[20]的几个已知的3F 2(43)-级数恒等式和许多新的超几何级数恒等式.
By applying the triple form of Gould–Hsu inversions to the Pfaff–Saalschütz theorem, a family of summation formulas on the Fox–Wright function, which implies several known3F2(43)-series identities due to Chen and Chu (2011) [20] and numerous new hypergeometric series identities, is established.