Duplicate Form of Gould-Hsu Inversions and Binomial Identities

  • Chuanan Wei
  • Dianxuan Gong
  • Jianbo Li
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)


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.


Duplicate form of Gould-Hsu inversions Binomial identity Hypergeometric series identity 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Chuanan Wei
    • 1
  • Dianxuan Gong
    • 2
  • Jianbo Li
    • 3
  1. 1.Department of Information TechnologyHainan Medical CollegeHaikouChina
  2. 2.College of SciencesHebei Polytechnic UniversityTangshanChina
  3. 3.Department of StatisticsThe Chinese University of Hong KongHong KongChina

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