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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 | ||
تاریخ دریافت: 20 خرداد 1400، تاریخ بازنگری: 01 مهر 1400، تاریخ پذیرش: 02 مهر 1400 | ||
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 | ||
مراجع | ||
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