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Almost poised basic hypergeometric series

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Abstract

Given a basic hypergeometric series with numerator parametersa 1,a 2, ...,a r and denominator parametersb 2, ...,b r, we say it isalmost poised ifb i, =a 1 q δ,i a i,δi = 0, 1 or 2, for 2 ≤i ≤r. Identities are given for almost poised series withr = 3 andr = 5 when a1, =q −2n.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, University Park, 16802, Pennsylvania, USA

    David M. Bressoud

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  1. David M. Bressoud
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Additional information

Partially supported by N.S.F. Grant No. DMS-8521580.

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Bressoud, D.M. Almost poised basic hypergeometric series. Proc. Indian Acad. Sci. (Math. Sci.) 97, 61–66 (1987). https://doi.org/10.1007/BF02837814

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  • DOI: https://doi.org/10.1007/BF02837814

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