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arxiv: 1901.00951 · v1 · pith:DBPGELIInew · submitted 2019-01-04 · 🧮 math.NT

Some identities between basic hypergeometric series deriving from a new Bailey-type transformation

classification 🧮 math.NT
keywords transformationbailey-typebasichypergeometricseriesderivederivingformulae
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We prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series.

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