Faber polynomial coefficient estimates for analytic bi-close-to-convex functions |
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| Authors: | Samaneh G. Hamidi Jay M. Jahangiri |
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| Affiliation: | 1. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA |
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| Abstract: | Using the Faber polynomials, we obtain coefficient expansions for analytic bi-close-to-convex functions and determine coefficient estimates for such functions. We also demonstrate the unpredictable behavior of the early coefficients of subclasses of bi-univalent functions. A function is said to be bi-univalent in a domain if both the function and its inverse map are univalent there. |
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