Honam Mathematical Journal (호남수학학술지)

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ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION

  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Rathie, Arjun K. (Department of Mathematics, School of Mathematical and Physical Sciences, Central University of Kerala, Riverside Transit Campus)
  • Received : 2014.02.21
  • Accepted : 2014.05.02
  • Published : 2014.06.25
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Abstract

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.

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References

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