New differentiability criteria for complex-valued functions
Abstract
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 $z_0$.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 343-351.
Citation Example: Alikulov E. O. New differentiability criteria for complex-valued functions // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 329–337.
Full text