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Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative

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Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
2
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Current address: Department of Mathematics, College of Science and Arts in Badaya, Al-Qassim University, Al-Badaya, Al-Qassim Province, Saudi Arabia.
Mathematics 2020, 8(3), 418; https://doi.org/10.3390/math8030418
Received: 21 February 2020 / Revised: 9 March 2020 / Accepted: 11 March 2020 / Published: 14 March 2020
(This article belongs to the Special Issue Geometrical Theory of Analytic Functions)
In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q-analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients a 2 and a 3 for functions in this subclass, and we obtain an estimation for the Fekete-Szegő problem for this function class. View Full-Text
Keywords: bi-univalent functions; Hadamard (convolution) product; coefficients bounds; q-derivative operator; differential subordination bi-univalent functions; Hadamard (convolution) product; coefficients bounds; q-derivative operator; differential subordination
MDPI and ACS Style

El-Deeb, S.M.; Bulboacă, T.; El-Matary, B.M. Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative. Mathematics 2020, 8, 418.

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