Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions

In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete–Szegö functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions. Furthermore, we provide some majorization res...

Full description

Saved in:
Bibliographic Details
Published in:Axioms 2023-09, Vol.12 (9), p.868
Main Authors: Khan, Muhammad Ghafar, Khan, Bilal, Tawfiq, Ferdous M. O., Ro, Jong-Suk
Format: Article
Language:English
Subjects:
Analytic functions
Estimates
Functional equations
Functionals
Functions
Inequality
majorization
Mathematical analysis
olomorphic functions
tangent domain
Zalcman functional
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete–Szegö functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions. Furthermore, we provide some majorization results for some non-vanishing holomorphic functions, whose ratios are related to various domains in the open unit disk.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12090868