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.
@article{bwmeta1.element.doi-10_2478_s11533-010-0022-7,
author = {James Mc Laughlin},
title = {Some new transformations for Bailey pairs and WP-Bailey pairs},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {474-487},
zbl = {1204.33022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0022-7}
}
James Mc Laughlin. Some new transformations for Bailey pairs and WP-Bailey pairs. Open Mathematics, Tome 8 (2010) pp. 474-487. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0022-7/
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