Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2φ1

  • KIM, YONG-SUP (Department of Mathematics Wonkwang University) ;
  • RATHIE ARJUN K. (Department of Mathematics Govt. Dungar College(Bikaner University)) ;
  • CHOI, JUNE-SANG (Department of Mathematics College of Natural Sciences Dongguk University)
  • Published : 2005.04.01

Abstract

The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series $series\;_2{\phi}_1$ corresponding to Gauss's contiguous relations for the hypergeometric series $series\;_2F_1$ given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummer's theorem.

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References

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Cited by

  1. A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS vol.31, pp.1, 2016, https://doi.org/10.4134/CKMS.2016.31.1.065