期刊文献+

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
在线阅读 下载PDF
导出
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.
作者 牛潇萌 李书海 Xiaomeng Niu;Shuhai Li(School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000)
出处 《数学物理学报(A辑)》 CSCD 北大核心 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)~~
关键词 解析函数 单叶函数 BAZILEVIC函数 Milin系数 相邻系数 Analytic functions Univalent functions Bazilevic functions Milin coefficients Adjacent coefficients
  • 相关文献

参考文献5

二级参考文献19

  • 1戈鲁辛 陈建功(译).复变函数的几何理论[M].北京:科学出版社,1956.446-447.
  • 2高纯一,数学年刊.A,1994年,15卷,650页
  • 3Rogosinski W. Uber positive harmonische Entwicklungen and typisch-veeue Potenzreihen. Math Zeit. ,1932,35:93-121.
  • 4Daniel Girela. Logarithmic coefficients of univalent functions. Annales Academic Seientiarum Fennica Mathematica, 2000,25: 337- 350.
  • 5Jenkins James A. On Circularly Symmetric Functions. Proc. Amer. Nath, Soc. , 1955, 6:620-624.
  • 6Ch Pommerenko. Univalent Functions, 1975, 125-138.
  • 7陈建功译.复变函数的几何理论[M].北京:科学出版社,1956.139-131,183-186.
  • 8Girela D. Integral Means of of Univalent Functions With Restricted Hayman Index. Israel. J. Math. ,1989,65: 44.
  • 9Hayman W. K, The asympototic behaviour ofp-valent functions, Proc. London Math. Soc, 1947, 5: 257-284.
  • 10He K, On some problems of univalent functions, Wuhan: Wuhan University Press, 2001:64-70.

共引文献30

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部