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Some more semi-finite forms of bilateral basic hypergeometric series

Combinatorics 2007-05-23 v2 Classical Analysis and ODEs

Abstract

We prove some new semi-finite forms of bilateral basic hypergeometric series. One of them yields in a direct limit Bailey's celebrated 6ψ6{}_6\psi_6 summation formula, answering a question recently raised by Chen and Fu ({\em Semi-Finite Forms of Bilateral Basic Hypergeometric Series}, Proc. Amer. Math. Soc., to appear).

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Cite

@article{arxiv.math/0502383,
  title  = {Some more semi-finite forms of bilateral basic hypergeometric series},
  author = {F. Jouhet},
  journal= {arXiv preprint arXiv:math/0502383},
  year   = {2007}
}

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9 pages