Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions

Journal of the Egyptian Mathematical Society

Mohammed Ahmed Mamon¹  Alaa Hassan El-Qadeem² 

[1] Department of Mathematics, Faculty of Science, Tanta University;Department of Mathematics, Faculty of Science, Zagazig University;

关键词: Analytic function;    Starlike function;    Convex function;    Subordination;    Bi-univalent function;    Fekete-Szegö inequalities;   

DOI  :  10.1186/s42787-019-0015-z

来源: DOAJ

【 摘 要 】

Abstract In this paper, two bounded bi-univalent function subclasses were defined by using Salagean q-differential operator. The functions are defined in the open unit disc of complex plane. The main purpose is to determine some estimations on the initial Maclaurin coefficients for functions in these subclasses. Finally, the Fekete-Szegö inequalities for these are also obtained.

【 授权许可】

Unknown