New analogous of Ramanujan’s remarkable product of theta-function and their explicit evaluations

In this article, we define µm,n for any positive real numbers m and n involving Ramanujan’s product of theta-functions f(q) and f(−q2), which is analogous to Ramanujan’s remarkable product of theta-functions and establish its several properties by Ramanujan. We establish general theorems for the explicit evaluations of µm,n and itsexplicit values.