β级α型λ-Bazilievic 函数的对数系数

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.

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

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.