Improvement of some inequalities for rational functions

DOI10.1007/S10958-023-06639-ZMaRDI QIDQ6187863

M. Y. Mir, Wali Mohammad Shah, S. L. Wali

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

inequalitieszerosrational 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)

Cites Work

• Some inequalities for rational functions with fixed poles
• Applications of the Schwarz lemma to inequalities for rational functions with prescribed poles
• A comparison inequality for rational functions
• Bernstein-Type Inequalities for 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
• Inequalities for meromorphic functions not vanishing outside the disk

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