| Bloch型双调和映照 |
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| 引用本文： | 李西振,陈行堤. Bloch型双调和映照[J]. 华侨大学学报(自然科学版), 2017, 0(5): 737-741. DOI: 10.11830/ISSN.1000-5013.201609021 |
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| 作者姓名： | 李西振 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： | 研究 Bloch 型双调和函数的判别准则和系数估计.通过建立双调和函数的线性和复合性质,得到双调和函数的 Bloch 型判别法则.利用双调和的表示理论及调和函数的 Pre-Schwarz 导数估计,给出 Bloch 型双调和函数的单叶性判定定理及系数估计.
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| 关 键 词： | Bloch函数 双调和映照 系数估计 拟正则映照 |
On Biharmonic Bloch-Type Mappings |
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| LI Xizhen,CHEN Xingdi. On Biharmonic Bloch-Type Mappings[J]. Journal of Huaqiao University(Natural Science), 2017, 0(5): 737-741. DOI: 10.11830/ISSN.1000-5013.201609021 |
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| Authors: | LI Xizhen CHEN Xingdi |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | This paper studies the criterion and coefficient estimate of Bloch-type biharmonic mappings. After establishing the linear and composite properties of biharmonic mappings, we give a criterion for biharmonic mappings to be Bloch-type. Combining the representation theorem of the biharmonic mappings with the estimation of Pre-Schwarz derivative of harmonic mappings, we obtain a univalent criterion and some coefficient estimates of biharmonic mappings for Bloch-type biharmonic mappings. |
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| Keywords: | Bloch function biharmonic mapping coefficient estimate quasiregular mapping |
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