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.
AMS Classification: 33D15, 05A30
Keywords: Bilateral hypergeometric summation, semi-finite forms, Ramanujan's summation, Bailey's transformations, Bailey's summation