On the Bilateral Series $_2\psi_2$
Combinatorics
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We obtain a formula which reduces the evaluation of a series to two series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.
Keywords
Cite
@article{arxiv.math/0701062,
title = {On the Bilateral Series $_2\psi_2$},
author = {Vincent Y. B. Chen and William Y. C. Chen and Nancy S. S. Gu},
journal= {arXiv preprint arXiv:math/0701062},
year = {2007}
}
Comments
13 pages