SHARP COEFFICIENTS BOUNDS FOR CLASS OF ALMOST STARLIKE MAPPINGS OF ORDER alpha IN C-n

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),...

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Veröffentlicht in:JOURNAL OF MATHEMATICAL INEQUALITIES 2020-09, Vol.14 (3), p.853-865
1. Verfasser: Xiong, Liangpeng
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1846-579X
DOI:10.7153/jmi-2020-14-55