Subclasses of meromorphic p-valent functions defined by q-derivative operator associated with Cassinian ovals

Abstract

In the present investigation we introduce two new subclasses MS*q( p,b; c) and MKq(p,b; c) of meromorphic multivalent functions by using q-derivative operator defined in the punctured unit disc. We use the Cassinian Oval √(1+cz) with c∈(0,1] as a subordinant function in this treatise. Also we derive several properties including convolution properties, the necessary and sufficient condition and coefficient estimates for these subclasses.

Keywords

• meromorphic p-valent functions
• hadamard product (or convolution)
• subordination between analytic functions
• q-derivative operator
• cassinian ovals