(p, q)-Lucas polynomials and their applications to bi-univalent functions
DOI:
https://doi.org/10.22199/issn.0717-6279-2019-05-0071Keywords:
(p, q)-Lucas polynomials, Coefficient bounds, Bi-univalent functionsAbstract
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.
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