数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 98-110.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.012
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摘要: Let S* be the familiar class of normalized univalent functions in the unit disk.In [9], Keogh and Merkes proved that for a function f(z) = z +∑k=2∞ akzk in the class S*,then |a3-λa_2^2| ≤ max{1, |3-4λ|}, λ∈ C. In this article, we investigate the corresponding problem for the subclass of starlike mappings defined on the unit ball in a complex Banach space, on the unit polydisk in Cnand the bounded starlike circular domain in C*, respectively.
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