[1]叶中秋.圆对称函数的对数系数[J].江西师范大学学报(自然科学版),2013,(01):6-8.
　YE Zhong-qiu.The Logarithmic Coefficients of Circularly Symmetric Functions[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(01):6-8.
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圆对称函数的对数系数()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年01期
页码:
6-8
栏目:
出版日期:
2013-01-01

文章信息/Info

Title:
The Logarithmic Coefficients of Circularly Symmetric Functions
作者:
叶中秋
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
YE Zhong-qiu
关键词:
单叶函数; 圆对称函数; 对数系数
Keywords:
univalent functions;  circularly symmetric functions;  logarithmic coefficient
分类号:
O174.52
文献标志码:
A
摘要:
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,对圆对称函数的对数系数| bn|进行了研究,得到估计| bn|≤An-1log(n+1),n=1,2,…,这里A是一个绝对常数,指数-1是准确的.
Abstract:
A non-negative function and estimate the integration of model of a complex function have been constructed.The logarithmic coefficients |bn| of circularly symmetric functions is discussed by this method.The estimate |bn|≤Anlog(n+1)(n=1,2,3,…)is given,where A is an absolute constants,and the exponent -1 is sharp.

参考文献/References:

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[7] 宁菊红,叶中秋.圆对称函数的相邻系数 [J].数学研究,2005,38(3):286-291.
[8] 叶中秋,宁菊红.具有两个增长方向的单叶函数的相邻系数 [J].江西师范大学学报:自然科学版,2002,26(3):208-210.
[9] 叶中秋,徐庆华.一类单叶函数系数的Goluzin问题 [J].江西师范大学学报:自然科学版,2002,26(4):333-335.
[10] 宁菊红,叶中秋.具有m(m≥3)个增长方向的单叶函数的相邻系数 [J].江西师范大学学报:自然科学版,2003,27(1):42-44.

备注/Memo

备注/Memo:
国家自然科学基金(11261022)
更新日期/Last Update: 1900-01-01