Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON SEVERAL NEW CONTIGUOUS FUNCTION RELATIONS FOR k-HYPERGEOMETRIC FUNCTION WITH TWO PARAMETERS

  • Chinra, Sivamani (Department of Mathematics School of Physical Sciences Central University of Kerala) ;
  • Kamalappan, Vilfred (Department of Mathematics School of Physical Sciences Central University of Kerala) ;
  • Rakha, Medhat A. (Department of Mathematics Faculty of Science Suez Canal University) ;
  • Rathie, Arjun K. (Department of Mathematics School of Physical Sciences Central University of Kerala)
  • Received : 2016.08.10
  • Accepted : 2016.11.18
  • Published : 2017.07.31
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Abstract

Very recently, Mubeen, et al. [6] have obtained fifteen contiguous function relations for k-hypergeometric functions with one parameter by the same technique developed by Gauss. The aim of this paper is to obtain seventy-two new and interesting contiguous function relations for k-hypergeometric functions with two parameters. Obviously, for $k{\rightarrow}1$ we recover the results obtained by Cho, et al. [2] and Rakha, et al. [8].

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References

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