Srivastava, H. M.Bansal, Deepak2018-05-302018-05-3020152015Srivastava, H.M. & Bansal, D. (2015). Coefficient estimates for a subclass of analytic and bi-univalent functions. Journal of the Egyptian Mathematical Society, 23(2), 242-246. https://doi.org/10.1016/j.joems.2014.04.002http://dx.doi.org/10.1016/j.joems.2014.04.002http://hdl.handle.net/1828/9413First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open unit disk U, is given. Then, the coefficient estimates, the Fekete–Szegö problem, and the second-order Hankel determinant H2(1) for functions belonging to this class Rq(h) are investigated. Furthermore, similar results are examined and presented for the functions zf(z) and f−1(z). For the validity of our results, relevant connections with those in earlier works are also pointed out.enAnalytic functionsUnivalent functionsSubordination between analytic functionsSchwarz functionBi-univalent functionsKoebe functionArticle