Abstract
A new criterion of constancy of complex functions is proved.
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References
K. Kuratowski,Topology [Russian translation], Vol. 2, Mir, Moscow (1969).
Yu. Yu. Trokhimchuk,Continuous Mappings and Monogeneity Conditions [in Russian], Fizmatgiz, Moscow (1963).
Yu. Yu. Trokhimchuk,Removable Singularities of Analytic Functions [in Russian], Naukova Dumka, Kiev (1992).
Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev; Ukrainian Institute for Food Technology. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 8, pp. 1096–1104, August, 1999.
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Trokhimchuk, Y.Y., Safonov, V.M. On one criterion of constancy of a complex function. Ukr Math J 51, 1237–1245 (1999). https://doi.org/10.1007/BF02592511
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DOI: https://doi.org/10.1007/BF02592511