New differentiability criteria for complex-valued functions

A theorem is proved which states that the existence of the asymptotic limit of $f_{\overline{z}}$ as $z \rightarrow z_0$ implies that the complex-valued function $f(z)$ is $\mathbb{R}$-differentiable at $z_0$.

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Bibliographic Details
Date:1994
Main Authors: Alikulov, E. O., Аликулов, Э. О.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5729
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal