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arXiv:math/0501242 [math.CA]AbstractReferencesReviewsResources

Semi-Finite Forms of Bilateral Basic Hypergeometric Series

William Y. C. Chen, Amy M. Fu

Published 2005-01-15Version 1

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 $_1\psi_1$ summation, Bailey's $_2\psi_2$ transformations, and Bailey's $_6\psi_6$ summation.

Comments: 8 pages. accepted by Proc. Amer. Math. Soc
Categories: math.CA, math.CO
Subjects: 33D15, 05A30
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