q-Difference Equations and Identities of the Rogers-Ramanujan-Bailey Type.

in a recent paper. I defined the "standard multiparameter Bailey pair" (SMPBP) and demonstrated that all of the classical Bailey pairs considered by W.N. Bailey in his famous paper (Proc. London Math. Soc. (2), 50 ( 1948), 1-10) arose as special cases of the SMPBP. Additionally. I was able to find a number of new Rogers-Ramanujan type identities. From a given Bailey pair. normally only one or two Rogers-Ramanujan type identities follow immediately. In this present work, I present the set of q-difference equations associated with the SMPBP, and use these q-difference equations to deduce the complete families of Rogers-Ramanujan type identities. [ABSTRACT FROM AUTHOR]