Published on April 2011 | Special Functions

Application of Bailey’s pair to q- identities

Bailey's (1949) lemma has been a very useful tool to establish q-series identities. Various mathematicians have exploited this result to arrive at Roger's - Ramanujan as well as q-series identities. Slater (1952) was one of the pioneer workers who establish more than a hundred identities. Andrews (1970, 1984, 1987 and 2005) has given a very valuable account of its applications, using certain pairs of sequences, called Bailey's Pairs. In this paper we shall use some of known Bailey's pairs to establish certain interesting q-series identities of special nature.