Fekete-Szeg? Type Problems and Their Applications for a Subclass of q -Starlike Functions with Respect to Symmetrical Points

摘要

In this article, by using the concept of the quantum (or q -) calculus and a general conic domain Ω k , q , we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szeg? 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.