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般不是调和的;同时给出含原点的单连通域调和、单叶映射成带域反函数调和的充要条件.
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.
出处
《纯粹数学与应用数学》
CSCD
1995年第2期105-109,共5页
Pure and Applied Mathematics