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Sufficient conditions for the finite-valence of analytic functions and their applications

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Abstract

In the first part of the paper there is given a survey of the contemporary state of the theory of the sufficient univalence and p-valence conditions for analytic and meromorphic functions of a complex variable. The second part is devoted to a survey of the results on the conditions for the univalent solvability of applied inverse boundary value problems.

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Translated from Itogi Nauki i Tekhniki, Seriya Matematicheskii Analiz, Vol. 25, pp. 3–121, 1987.

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Avkhadiev, F.G., Aksent'ev, L.A. & Elizarov, A.M. Sufficient conditions for the finite-valence of analytic functions and their applications. J Math Sci 49, 715–799 (1990). https://doi.org/10.1007/BF02207024

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