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The Youngnam Mathematical Society (영남수학회)
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REMARKS ON A SUMMATION FORMULA FOR THREE-VARIABLES HYPERGEOMETRIC FUNCTION $X_8$ AND CERTAIN HYPERGEOMETRIC TRANSFORMATIONS

  • Choi, June-Sang (DEPARTMENT OF MATHEMATICS DONGGUK UNIVERSITY) ;
  • Rathie, Arjun K. (DEPARTMENT OF MATHEMATICS VEDANT COLLEGE OF ENGINEERING AND TECHNOLOGY) ;
  • Harsh, H. (DEPARTMENT OF MATHEMATICS DUNGAR COLLEGE (BIKANER UNIVERSITY))
  • Received : 2009.03.14
  • Accepted : 2009.09.22
  • Published : 2009.12.31
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Abstract

The first object of this note is to show that a summation formula due to Padmanabham for three-variables hypergeometric function $X_8$ introduced by Exton can be proved in a different (from Padmanabham's and his observation) yet, in a sense, conventional method, which has been employed in obtaining a variety of identities associated with hypergeometric series. The second purpose is to point out that one of two seemingly new hypergeometric identities due to Exton was already recorded and the other one is easily derivable from the first one. A corrected and a little more compact form of a general transform involving hypergeometric functions due to Exton is also given.

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References

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