摘要
我们指出,[1]中定理A和B的证明是通不过的.事实上,按照S(z)=z+…属于S_λ^(?)的定义有e~üzs‘(z)/s(z)=cosλ·p(z)+isinλ,这里p(z)在|z|<1中解析且满足条件Rep(z)>0,p(0)=1但[1,(2.2)]把上式误写成e~üzs‘(z)/s(z)=p(z),并以它为出发点进行推理,这就导致[1]中引理2.1,推论2.1直至上述定理A和定理B的证明皆不能成立.本文的目的是纠正[1]的错误并建立相应的正确结果.
In this paper we point out some errors in Polatoglu's paper [l] and obtain the radius of a-convexity for the classes of A-spixallike functions and p-fold A-spixallike functions.