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SOME PROPERTIES FOR COMPREHENSIVE SUBCLASS OF BI-UNIVALENT FUNCTIONS
AL-HAWARY, TARIQ The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
Herein, we construct a qualitative subclass B<sup>γ</sup>(κ, µ, σ) of the class of analytic bi-univalent functions. Next, we explore estimates of the coefficients |a<sub>j</sub>| (j = 1, 2) and the Fekete-Szegö functional |a<sub>3</sub> - ςa<sup>2</sup><sub>2</sub>| for functions in this subclass.
Basem Aref Frasin,Ala Amourah,Tariq Al-Hawary 경북대학교 자연과학대학 수학과 2022 Kyungpook mathematical journal Vol.62 No.2
In the present paper, a subclass of analytic and bi-univalent functions is defined using a symmetric q−derivative operator by means of Gegenbauer polynomials. Coefficients bounds for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szego problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.