Certain Coefficient Inequalities Related with Conical Domain and Associated with Linear q-Difference Operator

Abstract

In our present investigation, we extend the work of  [1] and define a new subclass of analytic functions in conic regions using the linear  -difference operator. In [1], certain new classes of analytic functions were introduced, and their properties were widely investigated. They derived various subordination conditions and coefficient bounds. In this article, we obtain several coefficient bounds and other subordination results for functions belonging to the newly defined class. These coefficient bounds can be used to estimate the area and arc length problems in Geometric Function Theory.