| 多复变几何函数理论的近代进展 |
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| 引用本文： | 任福尧.多复变几何函数理论的近代进展[J].淮北煤炭师范学院学报(自然科学版),1992(2). |
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| 作者姓名： | 任福尧 |
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| 作者单位： | 复旦大学数学系 |
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| 摘 要： | 作者评论了多复变几何函数理论中的新结果.这评论包括了双全纯映照的否定或肯定的黎曼映照定理、边界对应、参数表示、增长性定理、编差定理、拟共扩张、系数问题和变分公式,以及全纯映照的单叶性判别准则.
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| 关 键 词： | 几何函数理论 双全纯映照 |
RECENT DEVELOPMENT IN GEOMETRIC FUNCTION THEORY OF SEVERAL VARIABLES |
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| FU YAO REN.RECENT DEVELOPMENT IN GEOMETRIC FUNCTION THEORY OF SEVERAL VARIABLES[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1992(2). |
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| Authors: | FU YAO REN |
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| Abstract: | The author reviews new results in geometric function theory of several variables in C~n. This review includes mainly negative or positive Riemann mapping theory correspondence of boundaries, convergence theorems, parameter representation, growth theorems, distortion theorems, quasicnformal extension, coefficient problems and variation formulas of biholomorhic mappings, and univalence of holmorphic mappins. |
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| Keywords: | Geometric function theory Biholomorphic mapping |
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