α型β级Bazilevi?函数的Milin系数估计和相邻系数问题  

Milin Coefficient Estimation and Adjacent Coefficient Problem for Bazilevi? Functions of Type α and Order β

作　　者：牛潇萌[1] 李书海[1] Xiaomeng Niu;Shuhai Li(School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000)

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《数学物理学报（A辑）》2019年第2期220-234,共15页Acta Mathematica Scientia

基　　金：国家自然科学基金(11561001);内蒙古自治区高等学校科学研究项目(NJZY18217);内蒙古高校青年科技英才支持计划资助项目(NJYT-18-A14)~~

摘　　要：该文讨论了α型β级Bazilevi?函数上的Milin系数和相邻系数模之差的估计,得到准确结果,推广了一些已有结论;另外,作为特例给出Milin函数的几何特征.In this paper, we study the Milin coefficients of Bazilevic functions of type α and order β and obtain estimate of the difference of moduli of adjacent coefficients for functions in this class. The accurate results are obtained. The results present here generalize some known results. In addition, as a special case, the geometric features of Milin function are given.

关 键 词：解析函数 单叶函数 BAZILEVIC函数 Milin系数 相邻系数 

分 类 号：O174.51[理学—数学]