Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions
El-Qadeem, A., Mamon, M. (2019). Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions. EKB Journal Management System, 27(1), 1-11. doi: 10.1186/s42787-019-0015-z
Alaa Hassan El-Qadeem; Mohammed Ahmed Mamon. "Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions". EKB Journal Management System, 27, 1, 2019, 1-11. doi: 10.1186/s42787-019-0015-z
El-Qadeem, A., Mamon, M. (2019). 'Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions', EKB Journal Management System, 27(1), pp. 1-11. doi: 10.1186/s42787-019-0015-z
El-Qadeem, A., Mamon, M. Estimation of initial Maclaurin coefficients of certain subclasses of bounded bi-univalent functions. EKB Journal Management System, 2019; 27(1): 1-11. doi: 10.1186/s42787-019-0015-z

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

Journal of the Egyptian Mathematical Society
Article 16, Volume 27, Issue 1, 2019, Pages 1-11    PDF (595.53 K)
DOI: 10.1186/s42787-019-0015-z
Authors
Alaa Hassan El-Qadeem; Mohammed Ahmed Mamon
Department of Mathematics, Faculty of Science, Zagazig University, 44519 Zagazig, Egypt
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
Analytic function; Starlike function; Convex function; Subordination; Bi-univalent function; Fekete-Szegö inequalities; Bounded function
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