Magesh, N.Abirami, C.Altinkaya, S.2024-03-132024-03-1320212146-1147https://hdl.handle.net/20.500.12662/4111Our present investigation is motivated essentially by the fact that, in Geometric Function Theory, one can find many interesting and fruitful usages of a wide variety of special functions and special polynomials. The main purpose of this article is to make use of the (p, q) Lucas polynomials L-p,L-q,L-n (x) and the generating function G(Lp, q, n(x)) (z), in order to introduce three new subclasses of the bi-univalent function class Sigma. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete-Szego inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.eninfo:eu-repo/semantics/closedAccessUnivalent functionsbi-univalent functionsbi-Mocanu-convex functionsbi-alpha-starlike functionsbi-starlike functionsbi-convex functionsFekete-Szego problemChebyshev polynomials(p, q)-Lucas polynomialsArticle288128211WOS:000605091900027N/A