Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/122279
Title: Inequalities Pertaining to Rational Functions with Prescribed Poles
Authors: Rather, N. A.
Wani, M. Sh.
Dar, I.
Issue Date: 2022
Publisher: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Citation: Rather N. A. Inequalities Pertaining to Rational Functions with Prescribed Poles / N. A. Rather, M. Sh. Wani, I. Dar. — Text : electronic // Ural Mathematical Journal. — 2022. — Volume 8. — № 1. — P. 143-152.
Abstract: Let ℜn be the set of all rational functions of the type r(z) = p(z)∕w(z), where p(z) is a polynomial of degree at most n and w(z) = ∏ j=1n(z - aj), |aj| > 1 for 1 ≤ j ≤ n. In this paper, we set up some results for rational functions with fixed poles and restricted zeros. The obtained results bring forth generalizations and refinements of some known inequalities for rational functions and in turn produce generalizations and refinements of some polynomial inequalities as well.
Keywords: RATIONAL FUNCTIONS
POLYNOMIALS
INEQUALITIES
URI: http://elar.urfu.ru/handle/10995/122279
Access: Creative Commons Attribution License
License text: https://creativecommons.org/licenses/by/4.0/
RSCI ID: 50043149
ISSN: 2414-3952
DOI: 10.15826/umj.2022.2.012
Origin: Ural Mathematical Journal. 2022. Volume 8. № 2
Appears in Collections:Ural Mathematical Journal

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