In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity q-calculus. Such results as coefficient estimates, grow property partial sums are derived. It is important to mentioned that our generalization number existing in literature.

We follow [31] in defining the set of primitive recursive functions. The important helper notion is the homogeneous function from finite sequences of natural numbers into natural numbers where homogeneous means that all the sequences in the domain are of the same length. The set of all such functions is then used to define the notion of a set closed under composition of functions and under prim...