On relationships between $q$-products identities, $R_\alpha$, $R_\beta$ and $R_m$ functions related to Jacobi’s triple-product identity

M. P. Chaudhary, Sangeeta Chaudhary

The authors establish a set of two new relationships involving $q$-product identities, $R_\alpha$, $R_\beta$ and $R_m$ (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].