Communications of the Korean Mathematical Society (대한수학회논문집)

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NEW TRANSFORMATIONS FOR HYPERGEOMETRIC FUNCTIONS DEDUCIBLE BY FRACTIONAL CALCULUS

  • Kim, Yong Sup (Department of Mathematics Education Wonkwang University)
  • Received : 2017.10.17
  • Accepted : 2018.02.06
  • Published : 2018.10.31
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Abstract

Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-variables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

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References

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