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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 371, Pages 109–116 (Mi znsl3547)

This article is cited in 3 papers

On modulus estimate of rational function

S. I. Kalmykov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

Abstract: The paper presents sharp inequalities for the modules of rational functions under certain restrictions on the module of the independent variable. These inequalities supplement some results of Govil, Mohapatra, and Dubinin. Bibl. – 6 titles.

Key words and phrases: rational functions, univalent functions.

UDC: 517.54

Received: 20.09.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 166:2, 186–190

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