New differentiability criteria for complex-valued functions

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $z_0$.