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Semi-Finite Forms of Bilateral Basic Hypergeometric Series
\Bilateral hypergeometric summation semi-finite forms Ramanujan's summation Bailey's transformations Bailey's summation
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2014/6/3
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 meth...
Cauchy Augmentation for Basic Hypergeometric Series
Cauchy augmentation Euler identity Cauchy identity Gauss identity basic hypergeometric series Jackson's transformation formula
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2014/6/3
We present a technique of deriving basic hypergeometric identities from their specializations with a fewer number of parameters by using the classical Cauchy identity on the expansion of the power of ...