2023-06-132023-06-132019-11Altınkaya, S. ve Yalçın, S. (2019). ''On the (p, q)-Lucas polynomial coefficient bounds of the bi-univalent function class sigma''. Boletin de la Sociedad Matematica Mexicana, 25(3), 567-575.1405-213X2296-4495https://doi.org/10.1007/s40590-018-0212-zhttps://link.springer.com/article/10.1007/s40590-018-0212-zhttp://hdl.handle.net/11452/33030The idea of the present paper stems from the work of Lee and Ac (J Appl Math 2012:1-18, 2012). We want to remark explicitly that, in our article, by using the (p, q)-Lucas polynomials, our methodology builds a bridge, to our knowledge not previously well known, between 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-Szego problem for this new function class.eninfo:eu-repo/semantics/openAccess(p, q)-Lucas polynomialsCoefficient boundsBi-univalent functionsSubclassFibonacciArticle0005009874000082-s2.0-85059840878567575253MathematicsLucas Numbers; Fibonacci; Number