Honam Mathematical Journal (호남수학학술지)

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CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

  • Received : 2016.06.06
  • Accepted : 2016.08.03
  • Published : 2016.12.25
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Abstract

The main aim of this paper is to introduce an extension of the generalized ${\tau}$-Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.

Keywords

References

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