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 AMS Classification: 33D15, 05A30 Keywords:
Bilateral hypergeometric summation, semi-finite forms,
Ramanujan's Download: pdf |