Srivastava, Hari MohanAl-Shbeil, IsraXin, QinTchier, FairouzKhan, ShahidMalik, Sarfraz Nawaz2024-01-252024-01-2520232023Srivastava, H. M., Al-Shbeil, I., Xin, Q., Tchier, F., Khan, S., & Malik, S. N. (2023). Faber polynomial coefficient estimates for bi-close-to-convex functions defined by the Q-fractional derivative. Axioms, 12(6), 585. https://doi.org/10.3390/axioms12060585https://doi.org/10.3390/axioms12060585http://hdl.handle.net/1828/15880By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk A and is invariant or symmetric under rotation. First, using the Faber polynomial expansion (FPE) technique, we determine the lth coefficient bound for the functions contained within this class. We provide a further explanation for the first few coefficients of bi-close-to-convex functions defined by the q-fractional derivative. We also emphasize upon a few well-known outcomes of the major findings in this article.enquantum (or q-) calculusanalytic functionsq-derivative operatorbi-univalent functionsFaber polynomial expansionsArticleDepartment of Mathematics and Statistics