• Title/Summary/Keyword: Generalized Kummer's theorem for $_2F_1(-1)$

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ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION

  • Choi, Junesang;Rathie, Arjun K.
    • Honam Mathematical Journal
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    • v.36 no.2
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    • pp.345-355
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    • 2014
  • The main objective of this paper is to obtain a formula containing eleven interesting results for the reducibility of Kamp$\acute{e}$ de F$\acute{e}$riet function. The results are derived with the help of two general results for the series $_2F_1(2)$ very recently presented by Kim et al. Well known Kummer's second theorem and its contiguous results proved earlier by Rathie and Nagar, and Kim et al. follow special cases of our main findings.