Faber polynomial coefficient estimates for analytic bi-close-to-convex functions

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• 作者：Samaneh G. Hamidi ; Jay M. Jahangiri
• 刊名：Comptes Rendus Mathematique
• 出版年：January, 2014
• 年：2014
• 卷：352
• 期：1
• 页码：17-20
• 全文大小：211 K

文摘

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.