2011 | OriginalPaper | Buchkapitel
Duplicate Form of Gould-Hsu Inversions and Binomial Identities
verfasst von : Chuanan Wei, Dianxuan Gong, Jianbo Li
Erschienen in: Information Computing and Applications
Verlag: Springer Berlin Heidelberg
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It is well known that inversion techniques have an important role in the development of combinatorial identities. In 1973, Gould and Hsu [6] offered a pair of surprising inverse series relations. Then it was utilized by Chu [3, 4] to study systematically hypergeometric series identities. By applying the duplicate form of Gould-Hsu inversions to a terminating
4
F
3
−series identity form Saalscütz’s theorem, we shall establish a family of binomial identities implying numerous interesting hypergeometric series identities.