S. I. Kalmykov, “Inequalities for Modulus of Rational Functions”, Dal'nevost. Mat. Zh., 2012, Volume 12, Number 2,Pages <nobr>231

This article is cited 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

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.

UDC: 517.5

MSC: Primary 30A10; Secondary 30C10

Received: 12.03.2012