Invariant operators and univalent functions
Invariant operators and univalent functions
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DOI：
10.1090/s0002-9947-1982-0662063-1
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发表时间：
1982-02
影响因子：
1.3
通讯作者：
Reuven Harmelin
中科院分区：
文献类型：
--
作者：
Reuven Harmelin
． 用若干次微分算子建立了复平面上亚纯函数在某些区域上的一元性的充分必要条件；' 3，与Schwarzian导数具有相同的不变性。这些算子包括Schwanian导数和Aharonov不变量的导数。给出了拟共形扩展存在的条件。
. Necessary and sufficient conditions for univalence of meromorphic functions in certain domains in the complex plane are established in terms of some differential operators of degrees;;;' 3, possessing the same invariance property as the Schwarzian derivative. Those operators include the derivatives of the Schwanian derivative and Aharonov's invariants. Conditions for the existence of quasiconformal extensions are also achieved.