Work

New subclass of generalized close-to-convex function related with quasi-subordination

Year: 2025

Type: article

Abstract: In this paper, we introduce a new class of generalized close-to-convex functions, which are defined by quasi-subordination relationship. The integral expression, the estimation of the first two terms and the Fekete-Szegö problem of functions belonging to the class are obtained. Our results extend and unify previous work on starlike, convex, and close-to-convex functions under quasi-subordination. Examples are provided to demonstrate sharpness.

Source: AIMS Mathematics

DOI: 10.3934/math.2025551

Authors: Aoen, Shuhai Li, Tula, Shuwen Li, Hang Gao

Institutions: Northeast Normal University, Chifeng University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: National Natural Science Foundation of China, Natural Science Foundation of Inner Mongolia