On a subclass of starlike functions associated with a vertical strip domain

TL;DR

This paper introduces a new subclass of starlike functions linked to a vertical strip domain, providing integral representations, convolution properties, coefficient bounds, and inclusion relations, advancing the understanding of these specialized functions.

Contribution

It defines a novel subclass of starlike functions associated with a vertical strip and improves existing results on their properties and relations to other starlike classes.

Findings

Derived integral representations and convolution properties.

Established coefficient inequalities for the subclass.

Proved inclusion relations with other starlike function classes.

Abstract

In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. Several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class are obtained. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al..