Coefficient bounds for a new family of bi-univalent functions associated with $(U,V)$-Lucas polynomials

	Coefficient bounds for a new family of bi-univalent functions associated with $(U,V)$-Lucas polynomials
International Journal of Nonlinear Analysis and Applications
مقاله 48، دوره 13، شماره 1، خرداد 2022، صفحه 615-626 اصل مقاله (428.39 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23927.2639
نویسندگان
Timilehin Gideon Shaba^* ¹؛ Abbas Kareem Wanas²
¹Department of Mathematics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
²University of Al-Qadisiyah, College of science, Department of Mathematics, Al Diwaniyah, Al-Qadisiyah, Iraq
چکیده
The aim of this paper is to use (U,V)-Lucas polynomials to introduce and study a new family of holomorphic and bi-univalent functions defined in the open unit disk which involve q-derivative operator. We investigate upper bounds for the Taylor-Maclaurin coefficients \|d2\| and \|d3\| and Fekete- Szego ̈ problem for functions belongs to this new family. Some interesting consequences of the results established here are indicated.
کلیدواژه‌ها
(U؛ V )-Lucas polynomials؛ Bi-univalent function؛ Coefficient bounds؛ Subordination
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