Inequalities for the derivatives of rational functions with prescribed poles and restricted zeros

DOI10.1134/S1063454123030020zbMath1526.30008MaRDI QIDQ6060234

Uzma Mubeen Ahanger, Wali Mohammad Shah

Publication date: 3 November 2023

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalitieszerospolynomialsrational 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

• Unnamed Item
• Unnamed Item
• Inequalities for the derivative of a polynomial with restricted zeros
• Sharp extensions of Bernstein's inequality to rational spaces
• Inequalities for a polynomial and its derivative
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Some Properties of Rational Functions with Prescribed Poles
• On the Derivative of a Polynomial
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions
• Proof of a conjecture of P. Erdös on the derivative of a polynomial

This page was built for publication: Inequalities for the derivatives of rational functions with prescribed poles and restricted zeros