Semi-Finite Forms of Bilateral Basic Hypergeometric Series
William Y. C. Chen, Amy M. Fu
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 1ψ1 summation, Bailey's 2ψ2 transformations, and Bailey's 6ψ6 summation.
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