Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME PROPERTIES OF EXTENDED τ-HYPERGEOMETRIC FUNCTION

  • Jana, Ranjan Kumar (Department of Applied Mathematics & Humanities S. V. National Institute of Technology) ;
  • Maheshwari, Bhumika (Department of Applied Mathematics & Humanities S. V. National Institute of Technology) ;
  • Shukla, Ajay Kumar (Department of Applied Mathematics & Humanities S. V. National Institute of Technology)
  • Received : 2017.08.04
  • Accepted : 2017.11.30
  • Published : 2018.10.31
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Abstract

Recently, Parmar [5] introduced a new extension of the ${\tau}$-Gauss hypergeometric function $_2R^{\tau}_1(z)$. The main object of this paper is to study this extended ${\tau}$-Gauss hypergeometric function and obtain its properties including connection with modified Bessel function of third kind and extended generalized hypergeometric function, several contiguous relations, differential relations, integral transforms and elementary integrals. Various special cases of our results are also discussed.

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References

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