A Class of Non-Bazilevic Functions Subordinate to Gegenbauer Polynomials

被引：4

作者：

Al-Rawashdeh, Waleed ^{[1
]}

机构：

[1] Zarqa Univ, Dept Math, Zarqa 13110, Jordan

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

Key words and phrases. analytic functions; Taylor-Maclaurin series; univalent and bi-univalent functions; principle of subordination; non-Bazilevic function; Sakaguchi-type; Gegenbauer polynomials; coefficient estimates; Fekete-Szego inequality; COEFFICIENT;

D O I：

10.28924/2291-8639-22-2024-29

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and investigate a class non-Bazilevic functions that associated by Gegenbauer Polynomials. The coefficient estimates of functions belonging to this class are derived. Moreover, we obtain the classical Fekete-Szego inequality of functions belonging to this class.

引用

页数：9

共 28 条

[1]

Al-Khafaji S.N., 2023, AIP Conf. Proc., V2475, DOI [10.1063/5.0104284, DOI 10.1063/5.0104284]

[2]

Al-Rawashdeh W., Preprints

[3]

Al-Rawashdeh W., WSEAS Trans. Math. Accepted

[4] A family of Analytic Functions Subordinate to Horadam Polynomials [J].