Generalized q-convex functions characterized by q-calculus

Abstract

The objective of the current examination is to present new sub-classes of q-convex and q-starlike functions inside E={z∈C:|z|<1}, by q-difference operator. We determined connections of these classes and acquired a few fundamental properties, for instance, inclusion relation, subordination properties and q-limits on real part.

Keywords

• analytic functions
• second-order q-differential
• convolution
• subordination
• q-number