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, Page 1-11 PDF (595.53 K) | ||||
DOI: 10.1186/s42787-019-0015-z | ||||
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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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