THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION

Facta Universitatis. Series Mathematics and Informatics

article

Halit Orhan¹  Gangadharan Murugusundaramoorthy²  Murat Caglar³ 

[1] Faculty of Science Department of Mathematics Ataturk University 25240 Erzurum;School of Advanced Sciences Department of Mathematics VIT University 632014 Vellore;Department of Mathematics, Erzurum Technical University

关键词: Analytic functions;    univalent functions;    bi-univalent functions;    Sigmoid function;    upper bounds;    Fekete-Szeg¨o problem;    subordination between analytic functions.;   

DOI  :  10.22190/FUMI201022034O

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The purpose of this article is to introduce a new subclass of analytic and bi-univalent functions, in associated with sigmoid function and to investigate the upper bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients. Further we obtain the Fekete-Szego inequalities for this subclass of the bi-univalent function class sigma. We also give several illustrative examples of the bi-univalent functionclass which we introduce here.

【 授权许可】

Unknown