• Title/Summary/Keyword: Gamma function and its Legendre duplication formula

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NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES 3F2

  • Choi, Junesang;Agarwal, P.
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.701-706
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    • 2013
  • Summation theorems for hypergeometric series $_2F_1$ and generalized hypergeometric series $_pF_q$ play important roles in themselves and their diverse applications. Some summation theorems for $_2F_1$ and $_pF_q$ have been established in several or many ways. Here we give a proof of Watson's classical summation theorem for the series $_3F_2$(1) by following the same lines used by Rakha [7] except for the last step in which we applied an integral formula introduced by Choi et al. [3].