SHARP COEFFICIENTS BOUNDS FOR CLASS OF ALMOST STARLIKE MAPPINGS OF ORDER α IN Cn

Let Omega be the bounded starlike circular domain. In this paper, we obtain the sharp bounds for the Fekete-Szego functional vertical bar A(3) - mu A(2)(2)vertical bar of the class AS(alpha)*(Omega) of almost starlike mappings of order alpha in C-n (n >= 2), where mu is an element of R, and A(2), A(3) are the first two coefficients of the homogeneous expansion of mappings f is an element of AS(alpha)*(Omega). Our results can be regarded as the extensions of corresponding works from the case in one dimension to the case in higher dimensions.