New differentiability criteria for complex-valued functions

• Datum: 1994
• Hauptverfasser: Alikulov, E. O., Аликулов, Э. О.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5729
• Назва журналу: 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 $z_0$.