A q-Analog of a Whipple′s Transformation for Hypergeometric Series in U(n)

@inproceedings{Milne1994AQO,
  title={A q-Analog of a Whipple′s Transformation for Hypergeometric Series in U(n)},
  author={Stephen C. Milne},
  year={1994}
}
Abstract In this paper we derive a q -analog of Gustafson′s U ( n ) generalization of Whipple′s classical transformation of a very well-poised 7 F 6 (1) into a balanced 4 F 3 (1). This provides a multivariable generalization of Watson′s q -analog of Whipple′s transformation. We obtain our main result by means of general q -difference equations and our q -analog of the balanced 3 F 2 summation theorem for hypergeometric series in U ( n ). Even the classical case of our proof appears to be new… CONTINUE READING