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

DOI10.1515/jaa-2017-0003zbMath1364.30009OpenAlexW2614190924WikidataQ124977537 ScholiaQ124977537MaRDI QIDQ2628113

Richard Fournier

Publication date: 12 June 2017

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2017-0003

zbMATH Keywords

polynomialsJack's lemma

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

Jack and Julia, On Jack's lemma, On an application of Jack's lemma, starlikeness and \(k\)-fold symmetry in \(\mathbb{C}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bound-preserving operators and the maximum modulus of extremal polynomials
• An extension of Jack's Lemma to polynomials of fixed degree
• Boundary distortion estimates for holomorphic maps
• Julius and Julia: Mastering the Art of the Schwarz Lemma
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• On Two Inequalities for Polynomials in the Unit Disk
• Functions Starlike and Convex of Order α
• Convex Hulls of Some Classical Families of Univalent Functions