S. I. Kalmykov, “Inequalities for Modulus of Rational Functions”, Dal'nevost. Mat. Zh., 12:2 (2012), 231

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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 2, Pages 231–236 (Mi dvmg242)

This article is cited in 1 scientific paper (total in 1 paper)

Inequalities for Modulus of Rational Functions

S. I. Kalmykov^ab

^a Far Eastern Federal University, Vladivostok
^b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok

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Abstract: Inequalities for modulus of rational functions with prescribed poles lying in the exterior of the unit disk were obtained in this research. The case when the rational function has no zeros in the unit disk has also been considered.

Key words: inequalities for rational functions, Blaschke product, Schwarz lemma.

Received: 12.03.2012

Document Type: Article

UDC: 517.5

MSC: Primary 30A10; Secondary 30C10

Language: Russian

Citation: S. I. Kalmykov, “Inequalities for Modulus of Rational Functions”, Dal'nevost. Mat. Zh., 12:2 (2012), 231–236

Citation in format AMSBIB

\Bibitem{Kal12}

\by S.~I.~Kalmykov

\paper Inequalities for Modulus of Rational Functions

\jour Dal'nevost. Mat. Zh.

\yr 2012

\vol 12

\issue 2

\pages 231--236

\mathnet{http://mi.mathnet.ru/dvmg242}

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https://www.mathnet.ru/eng/dvmg242

https://www.mathnet.ru/eng/dvmg/v12/i2/p231

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
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Abstract page:	469
Full-text PDF :	121
References:	75
First page:	1

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