3 papers
math.CO2007
The Cauchy Operator for Basic Hypergeometric Series
Vincent Y. B. Chen, Nancy S. S. Gu
We introduce the Cauchy augmentation operator for basic hypergeometric series. Heine's transformation formula and Sears' transformation formula can be easily ob…
math.CO2007
On the Bilateral Series
Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu
We obtain a formula which reduces the evaluation of a series to two series. In some sense, this identity may be considered as a companion of Slater's formulas. We a…
math.CO2006
The Abel Lemma and the q-Gosper Algorithm
Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu
Chu has recently shown that the Abel lemma on summations by parts can serve as the underlying relation for Bailey's bilateral summation formula. In other words, the Abel…