Consequences of the Al and Cl Bailey transform and Bailey lemma

@article{Milne1995ConsequencesOT,
  title={Consequences of the Al and Cl Bailey transform and Bailey lemma},
  author={Stephen C. Milne and Glenn M. Lilly},
  journal={Discrete Mathematics},
  year={1995},
  volume={139},
  pages={319-346}
}
In this paper we study some applications of the higher-dimensional generalization of the Bailey transform, Bailey lemma, and iterative 'Bailey chain' concept in the setting of basic hypergeometric series very well-poised on unitary A t or symplectic C t groups. The derivation of the C~ case is closely related to the previous analysis of the unitary A~ case. Let G denote A t or C r The G Bailey transform is obtained from a suitably modified G terminating very well-poised 4q~3 summation theorem… CONTINUE READING