Subclass of Janowski Starlike Functions Associated with Rabotnov Function and Opoola Differential Operator

Abstract

Hitherto, investigations and studies on divers fascinating subclasses of analytic functions including symmetrical points and other famous regions have been explored by many researchers. In most cases, these numerous subclasses of analytic functions have been considerably enhanced and employed for evaluating the first initial bounds, Fekete-Szego functional and Hankel determinants. The motive of this present study is to employ combination of certain Janowski functions, Rabotnov function and Opooola differential operator to introduce a new subclass of holomorphic functions which is symmetric under rotation. With the aid of this subclass, we derive some characterization properties like coefficient inequalities, radius problems and results related to partial sums. By varying the parameters in the definition of the subclasses, it turns out that the investigated subclasses yields certain corollaries.