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Browsing by Author "Younis, Jihad"

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    Applications of Q-Derivative Operator to Subclasses of Bi-Univalent Functions Involving Gegenbauer Polynomials
    (Taylor & Francis Ltd, 2022) Hu, Qiuxia; Shaba, Timilehin Gideon; Younis, Jihad; Khan, Bilal; Mashwani, Wali Khan; Caglar, Murat
    In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature. We are essentially motivated by this recent research going on, here in our present investigation, we make use of certain q-derivative operator and Gegenbauer polynomials and define a new subclass of analytic and bi-univalent functions. We then obtain certain coefficient bounds, the Fekete-Szego inequalities and upper bounds for the second-order Hankel determinant for the defined functions class.