Semi-Finite Forms of Bilateral Basic Hypergeometric Series
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summationformssemi-finitebaileybilateralformulastransformationapplied
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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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