期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2013
卷号：2013
DOI：10.1155/2013/190560
出版社：Hindawi Publishing Corporation
摘要：A function analytic in the open unit disk is said to be bi-univalent in if both the function
and its inverse map are univalent there. The bi-univalency condition imposed
on the functions analytic in makes the behavior of their
coefficients unpredictable. Not much is known about the behavior of the
higher order coefficients of classes of bi-univalent functions. We use Faber
polynomial expansions of bi-univalent functions to obtain estimates for
their general coefficients subject to certain gap series as well as
providing bounds for early coefficients of such functions.
