A study of multivalent q-starlike functions connected with circular domain

TL;DR

This paper investigates properties of a new class of multivalent q-starlike functions related to circular domains, focusing on convolution, coefficient bounds, and integral operators, advancing the theoretical understanding of these functions.

Contribution

It introduces a new subfamily of multivalent q-starlike functions associated with circular domains and explores their properties, including convolution, coefficient estimates, and a q-extended Bernardi integral operator.

Findings

Established coefficient bounds for the new function class

Derived Fekete-Szego inequalities for the functions

Analyzed the properties of the q-extended Bernardi integral operator

Abstract

In the present article, our aim is to examine some useful problems including the convolution problem, sufficiency criteria, coefficient estimates and Fekete-Szego type inequalities for a new subfamily of analytic and multivalent functions associated with circular domain. In addition, we also define and study a Bernardi integral operator in its $q$-extension for multivalent functions.