On Erdős-Lax theorem

DOI10.1007/BF02876763zbMath0551.30002MaRDI QIDQ801177

N. E. Zubov

Publication date: 1983

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Erdős-Lax theoremmaximum modulus principle

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) Inequalities in the complex plane (30A10)

Related Items (32)

Integral-norm estimates for the polar derivative of a polynomial ⋮ New integral norm estimates of Bernstein-type inequalities for a certain class of polynomials ⋮ Upper bound estimates for the polar derivative of a polynomial with restricted zeros ⋮ Annular region containing all the zeros of lacunary-type polynomials ⋮ Unnamed Item ⋮ Sharpening of Bernstein and Turán-type inequalities for polynomials ⋮ On the maximum modulus of a polynomial and its polar derivative ⋮ Unnamed Item ⋮ Generalizations of Bernstein-type inequalities for polynomials involving the polar derivative ⋮ A generalized inequality for the polar derivative of a polynomial ⋮ Inequalities concerning the polar derivative of a polynomial ⋮ Unnamed Item ⋮ Some inequalities involving the derivative of rational functions ⋮ A note on two recent results about polynomials with restricted zeros ⋮ Sharpening of Turán type inequalities for polar derivative of a polynomial ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inequalities for the polar derivative of a polynomial ⋮ Unnamed Item ⋮ Refinements of some inequalities concerning the polar derivative of a polynomial ⋮ Unnamed Item ⋮ Inequalities for a polynomial and its derivative ⋮ Some \(L^p\) inequalities for polynomials ⋮ The equivariant Brauer group of a group ⋮ Generalizations of Bernstein and Turán-type inequalities for the polar derivative of a complex polynomial ⋮ Extensions of some polynomial inequalities to the polar derivative ⋮ A Bernstein type \(L^p\) inequality for a certain class of polynomials ⋮ Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial ⋮ Bernstein-type integral inequalities for a certain class of polynomials ⋮ \(L^p\) inequalities for polynomials ⋮ Integral norm estimates for the polar derivative of Lacunary-type complex polynomials

Cites Work

• On the Derivative of a Polynomial
• On the Derivative of a Polynomial
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• On the derivative of a polynomial
• Unnamed Item
• Unnamed Item
• Unnamed Item

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