| 调和映照的Bloch常数 |
| |
| 引用本文： | 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(1):103-106. |
| |
| 作者姓名： | 李东征 陈行堤 |
| |
| 作者单位： | 华侨大学数学科学学院 |
| |
| 基金项目： | 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) |
| |
| 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.
|
| 关 键 词： | 拟正则调和映照 开调和映照 Bloch常数 Schwarz引理 |
Bloch Constant of Harmonic Mappings |
| |
| LI Dong-zheng,CHEN Xing-di.Bloch Constant of Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2012(1):103-106. |
| |
| Authors: | LI Dong-zheng CHEN Xing-di |
| |
| Institution: | (School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
| |
| 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. |
| |
| Keywords: | quasiregular harmonic mapping open harmonic mapping Bloch constant Schwarz lemma |
| 本文献已被 CNKI 等数据库收录！ |
