@article{article_822815, title={Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={51}, pages={1271–1279}, year={2022}, DOI={10.15672/hujms.822815}, author={Goswami, Pranay and Bulut, Serap and Sekhawat, Neetu}, keywords={univalent functions, bi-univalent functions, bounded boundary rotations, coefficient estimates, fekete-Szegö problem, q-calculus}, abstract={In this paper, we introduce a new subclass of analytic bi-univalent functions defined by using $q$-derivative operator. Further, we obtain both some initial and general coefficient bounds, and also Fekete-Szegö inequalities for bi-univalent functions that belong to this class. Our results extend and improve some known results as special cases.}, number={5}, publisher={Hacettepe University}