Schwarzian derivative criteria for valence of analytic and harmonic mappings
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Publication:5428392
DOI10.1017/S0305004107000394zbMath1134.30315arXivmath/0607067MaRDI QIDQ5428392
Peter Duren, Brad G. Osgood, Martin Chuaqui Farrú
Publication date: 22 November 2007
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607067
General theory of univalent and multivalent functions of one complex variable (30C55) Miscellaneous topics of analysis in the complex plane (30E99)
Related Items (13)
About the cover: visualization of harmonic functions ⋮ Quasiconformal extensions to space of Weierstrass-Enneper lifts ⋮ Some properties of univalent log-harmonic mappings ⋮ Criteria for bounded valence of harmonic mappings ⋮ Nehari type theorems and uniform local univalence of harmonic mappings ⋮ Optimization of relative arbitrage ⋮ The Schwarzian derivative of harmonic mappings in the plane ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings ⋮ Carleson measure of harmonic Schwarzian derivatives associated with a finitely generated Fuchsian group of the second kind ⋮ OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Information Geometry in Portfolio Theory ⋮ Some properties of the slice regular Schwarzians
Cites Work
- On the Nehari univalence criterion and quasicircles
- Univalence criteria for lifts of harmonic mappings to minimal surfaces
- Schwarzian derivatives and uniform local univalence
- Linear-invariante Familien analytischer Funktionen. I
- Complex Nonoscillation Theorems and Criteria of Univalence
- On The Zeros Of Solutions Of Second-Order Linear Differential Equations
- Finding complete conformal metrics to extend conformal mappings
- Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative
- Some Criteria of Univalence
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