(p, q)-Lucas polynomials and their applications to bi-univalent functions





(p, q)-Lucas polynomials, Coefficient bounds, Bi-univalent functions


In the present paper, by using the Lp,q,n(x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szegö problem for this new function class.

Author Biographies

Şahsene Altınkaya, Bursa Uludağ University.

Department of Mathematics.

Sibel Yalçın, Bursa Uludağ University.

Department of Mathematics.


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How to Cite

Şahsene Altınkaya and S. Yalçın, “(p, q)-Lucas polynomials and their applications to bi-univalent functions”, Proyecciones (Antofagasta, On line), vol. 38, no. 5, pp. 1093-1105, Dec. 2019.