Relations between Rα, Rβ and Rm functions related to Jacobi’s triple-product identity and the family of theta-function identities

In this paper, the author establishes a set of three new theta-function identities involving Rα, Rβ and Rm functions which are based upon number q-product Jacobi’s celebrated triple-product identity. These depict inter-relationships that exist among combinatorial partition-theoretic identities. Here, in paper we answer open question Srivastava et al [33], established relations terms (for m = 1, 2, 3), q-products Finally, choose to further emphasize some close connections with