单叶函数相邻两系数模之差的渐近性质

The Asymptotic Characteristic of the Difference of the Moduli of Adjacent Coefficients of Univalent Function

设f(z)∈S是有一个增长方向的单叶函数,(f(z)/z)λ= ∞n=0Dn(λ)zn,1/2<λ<1.若f(z)∈L,该文得到相邻系数||Dn(λ)|-|Dn-1(λ)||的渐近性质.

Let f be a univalent function with maximal growth on one direction,and (f(z)/z)λ=∞n=0Dn(λ)zn,where 1/2<λ<1.For f(z)∈L, the asymptotic characteristic of adjacent coefficients ||Dn(λ)|-|Dn-1(λ)||is obtained.