Inequalities for Maximum Modulus of Rational Functions with Prescribed Poles

In this paper we prove some results concerning the rational functions with prescribed poles and restricted zeros. These results in fact generalize or strengthen some known inequalities for rational functions with prescribed poles and in turn produce new results besides the refinements of some known p...

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Bibliographic Details
Published in:Kragujevac Journal of Mathematics 2023-01, Vol.47 (6), p.856-875
Main Author: WALI, S.L.
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper we prove some results concerning the rational functions with prescribed poles and restricted zeros. These results in fact generalize or strengthen some known inequalities for rational functions with prescribed poles and in turn produce new results besides the refinements of some known polynomial inequalities. Our method of proof may be useful for proving other inequalities for polynomials and rational functions.
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2306.865W