【摘要】 <正> 一、导言 设f(z)=z+sum from n=2 az~n在|z|<1内解析且f(z)f′(z)≠0(0<|z|<1),若对于实数β∈[0,1]、λ∈(-π/2、π/2)以及α∈(-∝,+∝)有更多还原

【Abstract】 Suppose f(z})= z + ∑n=2∞anzu is analytic in the unit disk |z|<1 and f(z f(z) <|z|<1), We say f(z) is(α,β) type spiral-like functions, If there are some real numbersdenoteJ. Hummel using variational technique proved the conjecture of V.Singh that a3- a22≤1/3 for normclizcd convex functions in unit disk |z|<1. The following results are obtained.ThenThe result is sharp.Theorem 2 If f(z)=z+ ∑n=2∞znzn Mλ(α,β) ((1 +α ) (1+2α)≠ 0) andIf is a complex number, Then更多还原