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), \textbf{50} (1948), 1--10) arose as special cases of the SMPBP. Additionally, I was able to find... Show more