Resumen de Parameter augmentation and the q-Gosper algorithm
We develop a method for deriving new basic hypergeometric identities from old ones by parameter augmentation. The main idea is to introduce a new parameter and use the q-Gosper algorithm to find out a suitable form of the summand. By this method, we recover some classical formulas on basic hypergeometric series and find extensions of the Rogers�Fine identity and Ramanujan�s summation formula. Moreover, we derive an identity for a summation.
