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arxiv: 1901.05889 · v1 · pith:7KSQDEIWnew · submitted 2019-01-05 · 🧮 math.NT

Some new Transformations for Bailey pairs and WP-Bailey Pairs

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keywords pairstransformationsbaileyderiverelatingsomewp-baileycertain
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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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