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调和单叶映射反函数调和的充要条件
引用本文:林兴端. 调和单叶映射反函数调和的充要条件[J]. 纯粹数学与应用数学, 1995, 11(2): 105-109
作者姓名:林兴端
作者单位:延安大学
摘    要:给出复值,调和,单叶函数的反函数是调和单叶的充要条件;并且举例说明反函数一

关 键 词:调和映射 反函数 单叶函数 调和函数 充要条件

NECESSARY AND SUFFICIENT CONDITION THAT INVERSE FUNCTION OF HARMONIC UNIVALENT MAPPING BE HARMONIC
Lin Xing duan. NECESSARY AND SUFFICIENT CONDITION THAT INVERSE FUNCTION OF HARMONIC UNIVALENT MAPPING BE HARMONIC[J]. Pure and Applied Mathematics, 1995, 11(2): 105-109
Authors:Lin Xing duan
Abstract:We shall obtain necessary and sufficient condition that inverse function of harmonic univalent mapping is harmonic univalent, and illustrate with an example show that its inverse mapping is not in general harmonic. In the meanwhile we shall give necessary and sufficent condition that inverse function of harmonic univalent mapping a simply-connected domain D containing the origin onto the strip n is harmonic.
Keywords:Harmonic mapping  Inverse function  
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