Geodesic
A local condition of single-valuedness of analytic functions
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 151-167

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In this paper a local condition of single-valuedness of an analytic function in its natural domain of existence is obtained. The condition is formulated in terms of rational approximations. Bibliography: 9 titles. 
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     title = {A local condition of single-valuedness of analytic functions},
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A. A. Gonchar. A local condition of single-valuedness of analytic functions. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 151-167. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a9/