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Öğe INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY THE (p, q)-LUCAS POLYNOMIALS(Turkic World Mathematical Soc, 2021) Magesh, N.; Abirami, C.; Altinkaya, S.Our 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.
