Some inequalities for rational functions with fixed poles

DOI10.3103/S1068362320020077zbMath1451.30012OpenAlexW3083252020MaRDI QIDQ2208793

Abdullah Mir

Publication date: 4 November 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362320020077

zbMATH Keywords

zerospolynomialsrational functionspoles

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (4)

Improvement of some inequalities for rational functions ⋮ Comparison inequalities between rational functions with prescribed poles ⋮ Generalizations of some inequalities for rational functions with prescribed poles and restricted zeros ⋮ Inequalities concerning rational functions in the complex domain

Cites Work

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• Some applications of Dubinin's lemma to rational functions with prescribed poles
• A comparison inequality for rational functions
• A sharp Schwarz inequality on the boundary
• On an application of conformal maps to inequalities for rational functions
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Some Properties of Rational Functions with Prescribed Poles
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative

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