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arXiv · 1901.00951

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

James Mc Laughlin·Peter Zimmer
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Abstract

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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James Mc Laughlin, Peter Zimmer. 2019-01-04. Some identities between basic hypergeometric series deriving from a new Bailey-type transformation. https://doi.org/10.1016/j.jmaa.2008.04.042

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