[1]李东征,陈行堤.调和映照的Bloch常数[J].华侨大学学报(自然科学版),2012,33(1):103-106.[doi:10.11830/ISSN.1000-5013.2012.01.0103]
　LI Dong-zheng,CHEN Xing-di.Bloch Constant of Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2012,33(1):103-106.[doi:10.11830/ISSN.1000-5013.2012.01.0103]
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调和映照的Bloch常数()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第1期
页码:
103-106
栏目:
出版日期:
2012-01-20

文章信息/Info

Title:
Bloch Constant of Harmonic Mappings
文章编号:
1000-5013(2012)01-0103-04
作者:
李东征; 陈行堤
华侨大学数学科学学院
Author(s):
LI Dong-zheng;  CHEN Xing-di
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
拟正则调和映照;  开调和映照;  Bloch常数;  Schwarz引理
Keywords:
quasiregular harmonic mapping;  open harmonic mapping;  Bloch constant;  Schwarz lemma
分类号:
O174.5
DOI:
10.11830/ISSN.1000-5013.2012.01.0103
文献标志码:
A
摘要:
由精确化的Schwarz引理,研究开调和映照类和K-拟正则调和映照类的Bloch常数,改进陈怀惠和P.M.Gauthier的相应结果.分别得到开调和映照类用全纯函数的Bloch常数表示的渐进精确的偏差估计,以及K-拟正则调和映照类的用系数|b1|表示的偏差估计.
Abstract:
By the refined Schwarz lemma,we study the Bloch constants for open harmonic mappings and K-quasiregular harmonic mappings and improve the corresponding results obtained by Chen Huai-hui and P.M.Gauthier.We also get an asymptotically sharp estimate for open harmonic mappings expressed by the Bloch constant of holomorphic functions and give an estimate represented by the coefficient |b1| for K-quasiregular harmonic mappings.

参考文献/References:

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(S0650019); 华侨大学基本科研专项基金资助项目(JB-ZR1136)
更新日期/Last Update: 2014-03-23