2019
Том 71
№ 11

All Issues

New differentiability criteria for complex-valued functions

Alikulov E. O.

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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.

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