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arXiv · 1901.05889

Some new Transformations for Bailey pairs and WP-Bailey Pairs

James Mc Laughlin
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Abstract

We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding transformations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.

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James Mc Laughlin. 2019-01-05. Some new Transformations for Bailey pairs and WP-Bailey Pairs. https://doi.org/10.2478/s11533-010-0022-7

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