Browsing by Author "Osgood, Brad"
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- ItemA NOTE ON CONVEX CONFORMAL MAPPINGS(2019) Chuaqui Farrú, Martín Skandar; Osgood, Brad
- ItemConcave conformal mappings and pre-vertices of Schwarz-Christoffel mappings(2012) Chuaqui Farrú, Martín Skandar; Duren, Peter L., 1935-; Osgood, Brad
- ItemEllipses, near ellipses, and harmonic Möbius transformations.(2005) Chuaqui Farrú, Martín Skandar; Duren, Peter L., 1935-; Osgood, Brad
- ItemFunctions with prescribed quasisymmetry quotients(1997) Chuaqui Farrú, Martín Skandar; Osgood, Brad; Stowe, D.
- ItemInjectivity criteria for holomorphic curves in Cn.(2009) Chuaqui Farrú, Martín Skandar; Duren, Peter L., 1935-; Osgood, Brad
- ItemOSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS(CAMBRIDGE UNIV PRESS, 2009) Chuaqui, Martin; Duren, Peter; Osgood, Brad; Stowe, DennisIn this note we study the zeros of solutions of differential equations of the form u '' + pu = 0. A criterion for oscillation is found, and some sharper forms of the Sturm comparison theorem are given.
- ItemSchwarzian derivatives and uniform local univalence.(2007) Chuaqui Farrú, Martín Skandar; Duren, Peter L., 1935-; Osgood, Brad
- ItemSCHWARZIAN DERIVATIVES OF CONVEX MAPPINGS(SUOMALAINEN TIEDEAKATEMIA, 2011) Chuaqui, Martin; Duren, Peter; Osgood, BradA simple proof is given for Nehari's theorem that an analytic function f which maps the unit disk onto a convex region has Schwarzian norm parallel to f parallel to <= 2. The inequality in sharper form leads to the conclusion that no convex mapping with parallel to f parallel to = 2 can map onto a quasidisk. In particular, every bounded convex mapping has Schwarzian norm parallel to f parallel to < 2. The analysis involves a structural formula for the pre-Schwarzian of a convex mapping, which is studied in further detail.
- ItemTwo-point distortion theorems for harmonic mappings.(2009) Chuaqui Farrú, Martín Skandar; Duren, Peter L., 1935-; Osgood, Brad