Some Implications of the WP-Bailey Tree
Number Theory
2019-01-16 v1
Abstract
We consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a number of curious transformations of basic hypergeometric series. We also derive two new WP-Bailey pairs, and use them to derive some additional new transformations for basic hypergeometric series. Finally, we briefly consider the implications of WP-Bailey pairs\\ , , in which is independent of , for generalizations of identities of the Rogers-Ramanujan type.
Cite
@article{arxiv.1901.04840,
title = {Some Implications of the WP-Bailey Tree},
author = {James Mc Laughlin and Peter Zimmer},
journal= {arXiv preprint arXiv:1901.04840},
year = {2019}
}
Comments
17 pages