Geodesic
The rate of rational approximation and the property of single-valuedness of an analytic function in the neighborhood of an isolated singular point
Sbornik. Mathematics, Tome 23 (1974) no. 2, pp. 254-270

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Criteria are obtained for the single-valuedness of an analytic function $\mathscr F$ in the neighborhood of an isolated singular point in terms of the rate of convergence of rational approximation to a fixed branch of the function $\mathscr F$. Bibliography: 8 titles. 
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     author = {A. A. Gonchar},
     title = {The rate of rational approximation and the property of single-valuedness of an analytic function in the neighborhood of an isolated singular point},
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A. A. Gonchar. The rate of rational approximation and the property of single-valuedness of an analytic function in the neighborhood of an isolated singular point. Sbornik. Mathematics, Tome 23 (1974) no. 2, pp. 254-270. http://geodesic.mathdoc.fr/item/SM_1974_23_2_a5/