Semi-Finite Forms of Bilateral Basic Hypergeometric Series

Details Semi-Finite Forms of Bilateral Basic Hypergeometric Series Semi-Finite Forms of Bilateral Basic Hypergeometric Series

2005-01-15

arxiv.org/abs/math/0501242v1

Mathematics

Classical Analysis and ODEs

8 pages. accepted by Proc. Amer. Math. Soc

Scientific paper

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.

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