某类与算子k_a(z)有关的解析函数的Fekete-Szego?不等式

The Fekete-Szego? Inequality for some Subclass of Analytic Functions Related to k_a( z ) Operator

设k_a(z)=z+sum from k=1 to +∞(a)_k/(1)_kz^(k+1),利用算子k_a(z)引入了解析函数类的新子类T_a(A,B,β),利用函数的极值和单调性,讨论了此函数类的Fekete-Szegego?不等式(μ为复数),推广了一些已有的结果.

Let ka（ z） = z ＋ sum from k = 1 to ＋∞（ a）k/1kzk ＋ 1. Making using of ka（ z） interal operator, a analytical function class Ta（A,B,β）is introduced. By using the extremum of function and momotonicity, the sharp upper bounds of Fekete-Szegego for any complex parameter are discussed, which generalize some existing results.