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On the degree of rational approximation of meromorphic functions

V. A. Prokhorov

Belarusian State University

Abstract: 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.

UDC: 517.53

MSC: 30E10, 41A20, 41A25

Received: 24.06.1993

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1995, 81:1, 1–20

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