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.CO2005
Finite Form of the Quintuple Product Identity
William Y. C. Chen, Wenchang Chu, Nancy S. S. Gu
The celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon formula.