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TWO RESULTS FOR THE TERMINATING 3F2(2) WITH APPLICATIONS

  • Received : 2011.03.03
  • Published : 2012.05.31
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Abstract

By establishing a new summation formula for the series $_3F_2(\frac{1}{2})$, recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function $_2F_2$. Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series $_3F_2(2)$. Furthermore two interesting applications of our new results are demonstrated.

Keywords

Acknowledgement

Supported by : Wonkwang University

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