Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immediately implies an infinite family of Rogers-Ramanujan type identities, some of which are well-known identities from the literature. We also use these identities to derive some general identities for integer partitions.
Annals of Combinatorics
McLaughlin, J., & Sills, A. (2012). On a pair of identities from Ramanujan's lost notebook. Annals of Combinatorics, 16(3), 591-607. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/74