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

Abstract

In the present paper, by using the Lp, q, n(x) functions, our method-ology 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 ofbi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szego problem for this new function class.