Semi-Finite Forms of
Bilateral Basic Hypergeometric Series

William Y. C. Chen and 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 summation, Bailey's transformations, and Bailey's summation.

  Keywords:  Bilateral hypergeometric summation, semi-finite forms, Ramanujan's summation, Bailey's transformations, Bailey's summation.

   AMS Classification:
 33D15, 05A30.
   

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