(1) Department of Mathematics, Penn State University, University Park, Pennsylvania, 16802;(2) Departamento de Matemática, Instituto Superior Técnico, Av.Rovisco Pais, 1049-001 Lisboa, Portugal
Abstract:
In previous work arising from the study of Ramanujan's Lost Notebook, a new Abel type lemma was proved. In this paper, we discuss extensions of this lemma and use it to prove many q-series identities. The first author was partially supported by NSF grant DMS–0200047. The second author was partially supported by FCT, Portugal, through program POCTI. 2000 Mathematics Subject Classification:Primary—33D15; Secondary—05A30
