General WP-Bailey Chains
Number Theory
2019-01-18 v1
Abstract
Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show that many of the existing WP-Bailey chains (or branches of the WP-Bailey tree), including chains found by Andrews, Warnaar and Liu and Ma, arise as special cases of these general WP-Bailey chains. We exhibit three new branches of the WP-Bailey tree, branches which also follow as special cases of these general WP-Bailey chains. Finally, we describe a number of new transformation formulae for basic hypergeometric series which arise as consequences of these new WP-Bailey chains.
Cite
@article{arxiv.1901.05890,
title = {General WP-Bailey Chains},
author = {James Mc Laughlin and Peter Zimmer},
journal= {arXiv preprint arXiv:1901.05890},
year = {2019}
}
Comments
20 pages