Faber Polynomial Coefficient Estimates of m-Fold Symmetric Bi-Univalent Functions with Bounded Boundary Rotation

被引：0

作者：

Murugan, Anandan ^{[1
]}

Sivasubramanian, Srikandan ^{[2
]}

Sharma, Prathviraj ^{[2
]}

Murugusundaramoorthy, Gangadharan ^{[3
]}

机构：

[1] Anna Univ, Coll Engn Guindy, Dept Math, Chennai 600025, Tamil Nadu, India

[2] Anna Univ, Univ Coll Engn Tindivanam, Dept Math, Tindivanam 604001, Tamil Nadu, India

[3] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

MATHEMATICS | 2024年 / 12卷 / 24期

关键词：

univalent; m-fold symmetric; bounded radius rotation; coefficient estimates; SUBCLASSES;

D O I：

10.3390/math12243963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the current article, we introduce several new subclasses of m-fold symmetric analytic and bi-univalent functions associated with bounded boundary and bounded radius rotation within the open unit disk D. Utilizing the Faber polynomial expansion, we derive upper bounds for the coefficients |bmk+1| and establish initial coefficient bounds for |bm+1| and |b2m+1|. Additionally, we explore the Fekete-Szeg & ouml; inequalities applicable to the functions that fall within these newly defined subclasses.

引用

页数：17

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