Semi-Finite Forms of Bilateral Basic Hypergeometric Series
Classical Analysis and ODEs
2007-05-23 v1 Combinatorics
Abstract
We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas. Our method can be applied to derive Ramanujan's summation, Bailey's transformations, and Bailey's summation.
Cite
@article{arxiv.math/0501242,
title = {Semi-Finite Forms of Bilateral Basic Hypergeometric Series},
author = {William Y. C. Chen and Amy M. Fu},
journal= {arXiv preprint arXiv:math/0501242},
year = {2007}
}
Comments
8 pages. accepted by Proc. Amer. Math. Soc