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arxiv: 1601.02074 · v2 · pith:I337CDRMnew · submitted 2016-01-09 · 🧮 math.CO

On the Very-well-poised Bilateral Basic Hypergeometric ₅psi₅ Series

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keywords basichypergeometricseriesbilateralvery-well-poisedformulasproverelationship
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In this paper, we prove several transformation formulas for the very-well-poised bilateral basic hypergeometric $_5\psi_5$ series by using the relationship between the bilateral basic hypergeometric $_5\psi_5$ series and basic hypergeometric $_8\phi_7$ series.

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