Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients

被引：5

作者：

Analouei Adegani, Ebrahim ^{[1
]}

Jafari, Mostafa ^{[2
]}

Bulboaca, Teodor ^{[3
]}

Zaprawa, Pawel ^{[4
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, POB 316-36155, Shahrood, Iran

[2] Islamic Azad Univ, Fac Comp Engn, Dept Math, Najafabad Branch, Najafabad 66414, Iran

[3] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[4] Lublin Univ Technol, Fac Mech Engn, Dept Math, PL-20618 Lublin, Poland

来源：

AXIOMS | 2023年 / 12卷 / 12期

关键词：

analytic and univalent function; bi-univalent function; coefficient estimates; subordination; SUBCLASSES;

D O I：

10.3390/axioms12121071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions. The main purpose of this paper is to estimate more accurate bounds for the coefficient |an| of the functions that belong to a class of bi-univalent functions with missing coefficients that are defined by using the subordination. The significance of our present results consists of improvements to some previous results concerning different recent subclasses of bi-univalent functions, and the aim of this paper is to improve the results of previous outcomes. In addition, important examples of some classes of such functions are provided, which can help to understand the issues related to these functions.

引用

页数：14

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