Horadam polynomials and their applications to new family of bi-univalent functions with respect to symmetric conjugate points





Bi-univalent functions, Horadam polynomials, Upper bounds, Symmetric conjugate, Fekete-Szegö problem, Subordination


In the current paper, by making use of the Horadam polynomials, we introduce and investigate a new family of holomorphic and biunivalent functions with respect to symmetric conjugate points defined in the open unit disk D. We derive upper bounds for the second and third coefficients and solve Fekete-Szegö problem of functions belongs to this family.


Author Biographies

Abbas Kareem Wanas, University of Al-Qadisiyah.

Dept. of Mathematics, College of Science.

Sibel Yalçın, Bursa Uludağ University.

Department of Mathematics.


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How to Cite

A. K. . Wanas and S. Yalçın, “Horadam polynomials and their applications to new family of bi-univalent functions with respect to symmetric conjugate points ”, Proyecciones (Antofagasta, On line), vol. 40, no. 1, pp. 107-116, Jan. 2021.