On the maximum modulus of polynomials not vanishing inside the unit circle

DOI10.1080/09720502.1998.10700248zbMath0923.30001OpenAlexW1991665139MaRDI QIDQ4248045

Kum K. Dewan, Aijaz Ahmad Bhat

Publication date: 28 October 1999

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.1998.10700248

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)

Related Items (8)

Bernstein Type Inequalities Concerning Growth of Polynomials ⋮ Growth of polynomials having no zero inside a circle ⋮ A generalization of Ankeny and Rivlin's result to \((s-1)^{\mathrm{st}}\) derivative of a polynomial ⋮ Growth of a polynomial with restricted zeros ⋮ On a theorem of ankeny and Rivlin-II ⋮ On maximum modulus of polynomials not vanishing inside a circle ⋮ Growth estimates of a polynomial not vanishing in a disk ⋮ Growth of polynomials not vanishing inside a circle

Cites Work

• On a theorem of S. Bernstein
• Inequalities for a polynomial and its derivative
• Unnamed Item

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