Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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AN EXTENSION OF THE TRIPLE HYPERGEOMETRIC SERIES BY EXTON

  • Received : 2010.02.04
  • Accepted : 2010.03.02
  • Published : 2010.03.25
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Abstract

The aim of this paper is to extend a number of transformation formulas for the four $X_4$, $X_5$, $X_7$, and $X_8$ among twenty triple hypergeometric series $X_1$ to $X_{20}$ introduced earlier by Exton. The results are derived from the generalized Kummer's theorem and Dixon's theorem obtained earlier by Lavoie et al..

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References

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