Generalizations of some inequalities for rational functions with prescribed poles and restricted zeros

DOI10.1007/s13324-021-00640-yzbMath1486.26025OpenAlexW4206451323MaRDI QIDQ2066357

Preeti Gupta, Sunil Hans, Abdullah Mir

Publication date: 14 January 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00640-y

zbMATH Keywords

inequalitiesrational functionspolar derivativepolesrestricted zeros

Mathematics Subject Classification ID

Inequalities in the complex plane (30A10) Real rational functions (26C15)

Cites Work

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• Comparison inequalities between rational functions with prescribed poles
• About multipoint distortion theorems for rational functions
• Some inequalities for rational functions with fixed poles
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Generalization of certain well-known inequalities for rational functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for the polar derivative of a polynomial

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