Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CERTAIN HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY USING THE BETA INTEGRAL METHOD

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Rathie, Arjun K. (Department of Mathematics School of Mathematical and Physical Sciences Central University of Kerala Riverside Transit Campus) ;
  • Srivastava, Hari M. (Department of Mathematics and Statistics University of Victoria)
  • Received : 2012.12.04
  • Published : 2013.09.30
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Abstract

The main objective of this paper is to show how one can obtain eleven new and interesting hypergeometric identities in the form of a single result from the old ones by mainly employing the known beta integral method which was recently introduced and used in a systematic manner by Krattenthaler and Rao [6]. The results are derived with the help of a generalization of a well-known hypergeometric transformation formula due to Kummer. Several identities including one obtained earlier by Krattenthaler and Rao [6] follow as special cases of our main results.

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References

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  3. TWO GENERAL HYPERGEOMETRIC TRANSFORMATION FORMULAS vol.29, pp.4, 2014, https://doi.org/10.4134/CKMS.2014.29.4.519
  4. Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z] vol.55, pp.2, 2015, https://doi.org/10.5666/KMJ.2015.55.2.439
  5. Certain transformations for multiple hypergeometric functions vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1847-2013-360