A Five-variable generalization of Ramanujan's reciprocity theorem

Abstract

By virtue of Bailey's well-known bilateral 6ψ_6 summation formula and Watson's transformation formula,we extend the four-variable generalization of Ramanujan's reciprocity theorem due to Andrews to a five-variable one. Some relevant new q-series identities including a new proof of Ramanujan's reciprocity theorem and of Watson's quintuple product identity only based on Jackson's transformation are presented.

arXiv comment13