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New differentiability criteria for complex-valued functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We prove a theorem which states that the existence of an asymptotic limit off ¯z asz→z 0 implies ℝ-differentiability of a complex-valued functionf(z) atz 0.

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References

  1. I. N. Vekua,Generalized Analytic Functions [in Russian], Nauka, Moscow (1988).

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  2. Yu. Yu. Trokhimchuk,Continuous Mappings and Monogeneity Conditions [in Russian], Fizmatgiz, Moscow (1963).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    É. O. Alikulov

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  1. É. O. Alikulov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 329–337, April, 1994.

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Alikulov, É.O. New differentiability criteria for complex-valued functions. Ukr Math J 46, 343–351 (1994). https://doi.org/10.1007/BF01060404

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  • DOI: https://doi.org/10.1007/BF01060404

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