On the growth of maximum modulus of rational functions with prescribed poles

DOI10.3906/mat-2003-97zbMath1502.30028OpenAlexW3122838129MaRDI QIDQ5100186

Lubna Wali Shah

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2003-97

zbMATH Keywords

inequalitiesSchwarz lemmapolynomialsrational functionsgrowth estimates

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schwarz lemma at the boundary
• Growth of maximum modulus of rational functions with prescribed poles
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On a theorem of S. Bernstein
• On the derivative of a polynomial

This page was built for publication: On the growth of maximum modulus of rational functions with prescribed poles