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

Authors

Department of Mathematics, Faculty of Science, Zagazig University, 44519 Zagazig, Egypt

https://doi.org/10.1186/s42787-019-0015-z

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.

Keywords