(α,β)型Bazilevic函数相邻两系数模之差的估计

Estimate of the Difference of the Moduli of Successive Coefficients for Bazilevic Functions of Type(α,β)

研究单叶函数相邻系数模之差的增长问题,首先给出Bα,β(C,D)相邻两系数模之差的估计,进一步得到(α,β)型Bazilevic函数的相邻两系数模之差的最佳估计结果,并给出几何特征.主要结论推广了先前已有的相应工作.

In this paper,we study the relative growth of successive coefficients of univalent functions.The difference of moduli of successive coefficients of Bα,β(C,D)is discussed.Further,we get the accurate estimate of the difference of moduli of successive coefficients of Bazilevic functions of type(α,β)and give the geometric features.The main conclusions generalize the previous work.