Abstract
The idea of the present paper stems from the work of Lee and Aşcı (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–Szegö problem for this new function class.
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Altınkaya, Ş., Yalçın, S. On the (p, q)-Lucas polynomial coefficient bounds of the bi-univalent function class \(\sigma \). Bol. Soc. Mat. Mex. 25, 567–575 (2019). https://doi.org/10.1007/s40590-018-0212-z
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DOI: https://doi.org/10.1007/s40590-018-0212-z