In his expository lectures on q-series [3] G. E. Andrews devotes a whole chapter to Bailey’s Lemma (Th. 2.1, 3.1) and discusses some of its numerous possible applications in terms of the “Bailey chain” concept. This name was introduced by G. E. Andrews [2] to describe the iterative nature of Bailey’s Lemma, which was not observed by W. N. Bailey himself. This iteration mechanism allows to derive many q-series identities by “reducing” them to more elementary ones. As an example, the famous… CONTINUE READING