On the degree of rational approximation of meromorphic functions
Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 1-20

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Questions concerning the theory of rational approximation of analytic functions are considered. One of the main results is Theorem 1, which characterizes the degree of rational approximation of meromorphic functions of finite order. The proof of the results obtained are based on the methods of the theory of Hankel operators.
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V. A. Prokhorov. On the degree of rational approximation of meromorphic functions. Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 1-20. http://geodesic.mathdoc.fr/item/SM_1995_81_1_a0/