摘要
本文证明,若则若f(z)且为星象函数,则||b_k|-|b_(k-1)|≤16.6/k^(1/2),k=1,2,….
In this paper, we prove that(i)if f(z)=sum from n=0 to ∞b_nZ^(2n+1)∈S_(odd), α_1≥α_2≥…≥0 and sum from k=1 to ∞, thensum from k=1 to ∞Kα_k(|b_k|—|b_(k-1)|~2≤14.4 sum from k=1 to ∞ α_k; and that (ii) if f(z)=sum from n=0 to ∞b_nZ^(2n+1)∈S_(odd) is starlike, then ||b_k|—|b_(k-1)||≤16.6/K^(1/2),K=1,2,….
