Title of article :
Coefficient bounds for a new family of bi-univalent functions associated with (U,V)-Lucas polynomials
Author/Authors :
Gideon Shaba, Timilehin Department of Mathematics - University of Ilorin, Ilorin, Nigeria , Wanas, Abbas Kareem Department of Mathematics - College of science - University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq
Abstract :
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.
Keywords :
(U , V )-Lucas polynomials , Bi-univalent function , Coefficient bounds , Subordination
Journal title :
International Journal of Nonlinear Analysis and Applications
