An extension of Jack's Lemma to polynomials of fixed degree

DOI10.1007/BF03321651zbMath1135.30310OpenAlexW2045956748WikidataQ124852582 ScholiaQ124852582MaRDI QIDQ925160

Marius Serban, Richard Fournier

Publication date: 30 May 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321651

zbMATH Keywords

extremal polynomialsJack's Lemmabound-preserving operators

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

On a new proof and an extension of Jack's lemma

Cites Work

• A peaking and interpolation problem for univalent functions
• Reduced modules and inequalities for polynomials
• Cases of equality for a class of bound-preserving operators over \(P_n\).
• Cases of equality for refinements of Bernstein's inequality
• A characterization of the maximum modulus of functions regular at the origin
• Neighborhoods of Univalent Functions
• Functions Starlike and Convex of Order α
• Convex Hulls of Some Classical Families of Univalent Functions
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