TITLE:
Further Development of the Fekete-Szegö | a 3 −μ a 2 2 |-Functional Inequality for Classes of Analytic Functions Based on Differential Operators and Subclasses
AUTHORS:
Ly Van An
KEYWORDS:
Analytic Functions, Fekete-Szegö Problem, Subclass, Hadamard Product, Linear Operator, Strongly Starlike Functions, Strongly Convex Functions
JOURNAL NAME:
Open Access Library Journal,
Vol.11 No.9,
September
24,
2024
ABSTRACT: In mathematics, the Fekete-Szegö inequality is an inequality for the coefficients of univalent analytic functions found by Fekete and Szegö (1933), related to the Bieberbach conjecture. Finding similar estimates for other classes of functions is called the Fekete-Szegö problem. In this paper, I study to solve the Fekete-Szegö problem for
|
a
3
−μ
a
2
2
|
-functional inequalities with μ is real or complex by the generalized linear differential operator. That is the main result in this paper.