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

@article{Milne1994AQO,
  title={A q-Analog of a Whipple′s Transformation for Hypergeometric Series in U(n)},
  author={S. Milne},
  journal={Advances in Mathematics},
  year={1994},
  volume={108},
  pages={1-76}
}
  • S. Milne
  • Published 1994
  • Mathematics
  • Advances in Mathematics
  • 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
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