On logarithmic coefficients of certain starlike functions related to the vertical strip

TL;DR

This paper investigates properties of specific subclasses of starlike functions related to the vertical strip, focusing on subordination, inequalities, and estimates of their logarithmic coefficients.

Contribution

It introduces and analyzes new subclasses of starlike functions associated with the vertical strip, providing sharp inequalities and estimates for their logarithmic coefficients.

Findings

Established subordination relations for the subclasses.

Derived sharp inequalities for sums involving logarithmic coefficients.

Provided estimates for the logarithmic coefficients of these functions.

Abstract

In the present paper two certain subclasses of the starlike functions associated with the vertical strip are considered. The main aim of this paper is to investigate some basic properties of these classes such as, subordination relations, sharp inequalities for sums involving logarithmic coefficients and estimate of logarithmic coefficients.