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arXiv · 1901.04840

Some Implications of the WP-Bailey Tree

James Mc Laughlin·Peter Zimmer
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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\\ $(\alpha_n(a,k)$, $\beta_n(a,k))$, in which $\alpha_n(a,k)$ is independent of $k$, for generalizations of identities of the Rogers-Ramanujan type.

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James Mc Laughlin, Peter Zimmer. 2019-01-04. Some Implications of the WP-Bailey Tree. https://doi.org/10.1016/j.aam.2009.02.001

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