Results on Fekete-Szego Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators

被引：0
作者：
Singha, N. [1 ]
Siksha, R. Kumar [2 ]
机构：
[1] Pandit Deendayal Petroleum Univ, Dept Math, Sch Technol, Gandhinagar 382426, Gujarat, India
[2] Siksha O Anusandhan Univ, Inst Tech Educ & Res, Dept Comp Sci & Engn, Bhubaneswar 751030, Odisha, India
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2022年 / 17卷 / 01期
关键词：
Fekete-Szego inequality; Fractional-order operators; Analytic functions; Univalent functions; Spirallike functions; Starlike functions; Convex functions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce some new subclasses of analytic functions which are univalent in an open unit disk by means of fractional calculus. The elemental interest is to explore the significance of fractional-order operators while formulating a few distinct subclasses of univalent analytic functions. Present work establishes the Fekete-Szego inequality for the proposed subclasses. In addition, some classical Fekete-Szego problems have also been retrieved and discussed as particular cases of the presented work. To make the suggested work more evident, an extremal function is also provided for which a sharp upper bound is attained.
引用
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页码：109 / 122
页数：15
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