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Dal'nevost. Mat. Zh., 2012, Volume 12, Number 2, Pages 231–236 (Mi dvmg242)  

Inequalities for Modulus of Rational Functions

S. I. Kalmykovab

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

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

Full text: PDF file (115 kB)
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UDC: 517.5
MSC: Primary 30A10; Secondary 30C10
Received: 12.03.2012

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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