Coefficient estimates for a subclass of analytic and bi-univalent functions
Date
2015
Authors
Srivastava, H. M.
Bansal, Deepak
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of the Egyptian Mathematical Society
Abstract
First, 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.
Description
Keywords
Analytic functions, Univalent functions, Subordination between analytic functions, Schwarz function, Bi-univalent functions, Koebe function
Citation
Srivastava, 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.2014.04.002