It is shown how each of the classical identities of Rogers-Ramanujan type can be embedded in an infinite family of multiple series identities. The method of construction is applied to four of L. J. Rogers' elegant series related to the quintuple product identity. Other applications are also presented.
No takes yet. Share an insight, caveat, or question.
George E. Andrews (1984) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: