TY - JOUR AU - Altınkaya, Şahsene AU - Yalçın, Sibel PY - 2019/12/26 Y2 - 2024/03/29 TI - (p, q)-Lucas polynomials and their applications to bi-univalent functions JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 38 IS - 5 SE - DO - 10.22199/issn.0717-6279-2019-05-0071 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3263 SP - 1093-1105 AB - <p><em>In the present paper, by using the L<sub>p,q,n</sub>(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.</em></p> ER -