paper

Some new Transformations for Bailey pairs and WP-Bailey Pairs

arXiv:1901.05889 · doi:10.2478/s11533-010-0022-7

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.

18 pages

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Some new Transformations for Bailey pairs and WP-Bailey Pairs · wovepaper