A family of Analytic Functions Subordinate to Horadam Polynomials

被引：2

作者：

Al-Rawashdeh, Waleed ^{[1
]}

机构：

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

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 01期

关键词：

Analytic Functions; Taylor-Maclaurin Series; Principle of Subordination; Horadam Polynomials; Chebyshev polynomials; Coefficient estimates; Fekete-Szego Inequality; SUBCLASSES;

D O I：

10.29020/nybg.ejpam.v17il.5022

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 family of analytic functions, denoted by F(pi, alpha, beta, lambda, delta, mu), defined by means of Horadam polynomials. For functions in this family, we derive the estimations for the initial Taylor -Maclaurin coefficients |a(2)| and |a(3)|. Moreover, we obtain the classical Fekete-Szego inequality of functions belonging to this family.

引用

页码：158 / 170

页数：13

共 31 条

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Abirami C., 2020, Abstr. Appl. Anal., DOI [10.1155/2020/7391058, DOI 10.1155/2020/7391058]

[2]

Al-Rawashdeh W., Preprints

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