β级α型λ-Bazilievic 函数的对数系数

基金项目:

国家自然科学基金;内蒙古自然科学基金

详细信息

The Logarithmic Coefficients of\ $\lambda$ -Bazilievi $\check{c}$ Functions of Type\ $\alpha$ and Order\ $\beta$

摘要: 利用从属关系给出~ $\left|\left(g(z)/f(z)\right)^\alpha\right|$ 的估计,并运用构造一个非负函数和对复变函数模的积分进行估计的方法, 对\ $\beta$ 级\ $\alpha$ 型\ $\lambda$ -Bazilevi $\check{c}$ 函数类\ $B(\lambda,\alpha,\beta)$ 的对数系数~ $b_n$ 进行研究, 得到~ $|b_{n}|\leq A\mathrm{log}n/n+B/n+32\beta/(1-|1-2\beta|)$ , 其中~ $A,B$ 是绝对常数, 推广了相关结果.
- Bazilievic 函数
Abstract: Estimation of $\left|\left(g(z)/f(z)\right)^\alpha\right|$ is given by using subordination. Using the method of construction a non-negative function and estimation the integration of model of a complex function, the logarithm coefficient $b_n$ of \ $\lambda$ -Bazilevi $\check{c}$ Functions of Type\ $\alpha$ and Order\ $\beta$ is studied. The estimate ~ $|b_{n}|\leq A\mathrm{log}n/n+B/n+32\beta/(1-|1-2\beta|)$ is given, where $A,B$ are absolute constants.
- Bazilievic functions