| 一类调和映照的系数估计 |
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| 引用本文： | 阙玉琴,陈行堤.一类调和映照的系数估计[J].华侨大学学报(自然科学版),2015,0(4):484-488. |
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| 作者姓名： | 阙玉琴 陈行堤 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 在单叶调和映照的系数猜想的基础上,获得单叶调和映照在第二复伸张满足标准化条件下的系数估计,结果渐进于单叶函数的系数估计,建立了两个猜想的联系,并获得此类映照的增长和覆盖定理.
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| 关 键 词： | 单叶调和映照 稳定调和映照 系数估计 增长定理 |
On the Coefficient Estimates for One Subclass of Harmonic Mappings |
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| QUE Yu-qin,CHEN Xing-di.On the Coefficient Estimates for One Subclass of Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2015,0(4):484-488. |
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| Authors: | QUE Yu-qin CHEN Xing-di |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | We study the coefficient estimates of a subclass of harmonic mappings, which second complex dilatations satisfy some normal condition. The result is asymptotic to the estimates of univalent analytic functions, the relationship of the coefficient conjecture of these two class mappings is established. We also obtain the growth and covering theorem for this class of mappings. |
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| Keywords: | harmonic mapping stable harmonic mapping coefficient estimate distortion theorem |
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