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Semi-Finite Forms of Bilateral Basic Hypergeometric Series

William Y. C. Chen·Amy M. Fu
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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 $_1ψ_1$ summation, Bailey's $_2ψ_2$ transformations, and Bailey's $_6ψ_6$ summation.

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BibTeXRIS

William Y. C. Chen, Amy M. Fu. 2005-01-15. Semi-Finite Forms of Bilateral Basic Hypergeometric Series. https://arxiv.org/abs/math/0501242

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