α型β级Bazilevič函数的Milin系数估计和相邻系数问题

数学物理学报 ›› 2019, Vol. 39 ›› Issue (2): 220-234.

α型β级Bazilevič函数的Milin系数估计和相邻系数问题

牛潇萌*(),李书海()

赤峰学院数学与统计学院内蒙古赤峰 024000

收稿日期:2018-03-25 出版日期:2019-04-26 发布日期:2019-05-05
通讯作者: 牛潇萌 E-mail:ndnxm@126.com;lishms66@sina.com
作者简介:李书海, E-mail: lishms66@sina.com
基金资助:
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)

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

Xiaomeng Niu*(),Shuhai Li()

School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000

Received:2018-03-25 Online:2019-04-26 Published:2019-05-05
Contact: Xiaomeng Niu E-mail:ndnxm@126.com;lishms66@sina.com
Supported by:
the NSFC(11561001);the Higher School Research Foundation of Inner Mongolia(NJZY18217);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-18-A14)

摘要/Abstract

摘要：

该文讨论了α型β级Bazilevič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.

关键词: 解析函数, 单叶函数, Bazilevič函数, Milin系数, 相邻系数

Abstract:

In this paper, we study the Milin coefficients of Bazilevič 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.

Key words: Analytic functions, Univalent functions, Bazilevič functions, Milin coefficients, Adjacent coefficients

中图分类号:

O174.51

牛潇萌,李书海. α型β级Bazilevič函数的Milin系数估计和相邻系数问题[J]. 数学物理学报, 2019, 39(2): 220-234.

Xiaomeng Niu,Shuhai Li. Milin Coefficient Estimation and Adjacent Coefficient Problem for Bazilevič Functions of Type α and Order β[J]. Acta mathematica scientia,Series A, 2019, 39(2): 220-234.

图/表 6

参考文献 14

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