On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity
Copyright policy )On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity
The authors establish a set of two new relationships involving q-product identities, Ralpha, Rbeta, and Rm (m = 1, 2, 3, . . .) functions; and answer a open question of Srivastava et al. [18]. The present work is motivated and based upon recent findings of Chaudhary et al. [8].
ra, rb, and rm functions, \(R_\alpha\), \(R_\beta\) and \(R_m\) functions, Combinatorial aspects of partitions of integers, Rogers-Ramanujan identities, rogers-ramanujan identities, rogers-ramanujan continued fraction, q-product identities, jacobi's triple-product identity, Rogers-Ramanujan continued fraction, Partitions; congruences and congruential restrictions, theta-function identities, \(q\)-calculus and related topics, Jacobi's triple-product identity, QA1-939, Theta series; Weil representation; theta correspondences, \(q\)-product identities, Mathematics
ra, rb, and rm functions, \(R_\alpha\), \(R_\beta\) and \(R_m\) functions, Combinatorial aspects of partitions of integers, Rogers-Ramanujan identities, rogers-ramanujan identities, rogers-ramanujan continued fraction, q-product identities, jacobi's triple-product identity, Rogers-Ramanujan continued fraction, Partitions; congruences and congruential restrictions, theta-function identities, \(q\)-calculus and related topics, Jacobi's triple-product identity, QA1-939, Theta series; Weil representation; theta correspondences, \(q\)-product identities, Mathematics
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