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Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials
oleh: Qiuxia Hu, Timilehin Gideon Shaba, Jihad Younis, Bilal Khan, Wali Khan Mashwani, Murat Çağlar
Format: | Article |
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Diterbitkan: | Taylor & Francis Group 2022-12-01 |
Deskripsi
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–Szegö inequalities and upper bounds for the second-order Hankel determinant for the defined functions class.