Convolution properties of meromorphically harmonic functions defined by a generalized convolution q-derivative operator

Abstract

The goal of this article is to define, explore and analyze two new families of meromorphically harmonic functions by applying the concept of a certain generalized convolution q-operator along with the idea of convolution. We investigate convolution properties and sufficiency criteria for these families of meromorphically harmonic functions. Some of the interesting consequences of our investigation are also included.

Keywords

• harmonic analytic functions
• meromorphically harmonic functions
• meromorphically harmonic starlike functions
• meromorphically harmonic convex functions
• generalized convolution q-derivative operator
• functions of the janowski type
• convolution operator
• coefficent estimates
• inclusion relations