Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERALIZATIONS OF GAUSS'S SECOND SUMMATION THEOREM AND BAILEY'S FORMULA FOR THE SERIES 2F1(1/2)

  • Rathie, Arjun K. (Department of Mathematics Govt. Sujangarh College Distt.) ;
  • Kim, Yong-Sup (Department of Mathematics WonKwang University) ;
  • Choi, June-Sang (Department of Mathematics College of Natural Sciences, Dongguk University)
  • Published : 2006.07.01
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Abstract

We aim mainly at presenting two generalizations of the well-known Gauss's second summation theorem and Bailey's formula for the series $_2F_1(1/2)$. An interesting transformation formula for $_pF_q$ is obtained by combining our two main results. Relevant connections of some special cases of our main results with those given here or elsewhere are also pointed out.

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References

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