Fekete-Szego type problems and their applications for a subclass of q-starlike functions with respect to symmetrical points

Abstract

In this article, by using the concept of the quantum (or q-) calculus and a general conic domain Ωk, q, we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szego type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using a q-Bernardi integral operator.