Some new Transformations for Bailey pairs and WP-Bailey Pairs

James Mc Laughlin

doi:10.2478/s11533-010-0022-7

Some new Transformations for Bailey pairs and WP-Bailey Pairs

Number Theory 2019-01-18 v1

Authors: 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.

Keywords

theta correspondence special functions and series expansions

Cite

@article{arxiv.1901.05889,
  title  = {Some new Transformations for Bailey pairs and WP-Bailey Pairs},
  author = {James Mc Laughlin},
  journal= {arXiv preprint arXiv:1901.05889},
  year   = {2019}
}