Curvature properties of planar harmonic mappings
From MaRDI portal
Publication:1880507
DOI10.1007/BF03321060zbMath1051.30025OpenAlexW1965653208WikidataQ125591780 ScholiaQ125591780MaRDI QIDQ1880507
Peter Duren, Brad G. Osgood, Martin Chuaqui Farrú
Publication date: 28 September 2004
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03321060
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99)
Related Items (34)
Criteria of univalence and fully –accessibility forp–harmonic andp–analytic functions ⋮ Injectivity of minimal immersions and homeomorphic extensions to space ⋮ Norm of the pre-Schwarzian derivative, Bloch's constant and coefficient bounds in some classes of harmonic mappings ⋮ On De la Vallée Poussin means for harmonic mappings ⋮ Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Construction and determination of univalent biharmonic mappings ⋮ Unnamed Item ⋮ New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality ⋮ Harmonic spirallike functions and harmonic strongly starlike functions ⋮ Harmonic mappings with hereditary starlikeness ⋮ Covering and distortion theorems for planar harmonic univalent mappings ⋮ Univalence criteria for lifts of harmonic mappings to minimal surfaces ⋮ Quasiconformal extensions of biharmonic mappings and strongly starlike biharmonic mappings ⋮ Coefficient conditions for harmonic univalent mappings and hypergeometric mappings ⋮ Radius constants for functions with the prescribed coefficient bounds ⋮ The radii of fully starlikeness and fully convexity of a harmonic operator ⋮ The Schwarzian derivative and measured laminations on Riemann surfaces ⋮ Distortion and covering theorems of pluriharmonic mappings ⋮ One parameter family of univalent biharmonic mappings ⋮ Harmonic mappings with analytic part convex in one direction ⋮ COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS ⋮ Radius of close-to-convexity and fully starlikeness of harmonic mappings ⋮ Pre-schwarzian and Schwarzian derivatives of harmonic mappings ⋮ Absolutely convex, uniformly starlike and uniformly convex harmonic mappings ⋮ Univalent harmonic mappings convex in one direction ⋮ Radius of fully starlikeness and fully convexity of harmonic linear differential operator ⋮ One parameter family of univalent polyharmonic mappings ⋮ On certain harmonic mappings with some fixed coefficients ⋮ Quasiconformal extensions of harmonic mappings ⋮ HARMONIC MAPPING RELATED WITH THE MINIMAL SURFACE GENERATED BY ANALYTIC FUNCTIONS ⋮ On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings ⋮ Stable geometric properties of analytic and harmonic functions ⋮ Radius of convexity for analytic part of sense-preserving harmonic mappings ⋮ RADII OF HARMONIC MAPPINGS IN THE PLANE
Cites Work
- Unnamed Item
- The Schwarzian derivative and conformal mapping of Riemannian manifolds
- Boundary values versus dilatations of harmonic mappings
- Geometric properties of harmonic shears
- The Schwarzian derivative for harmonic mappings
- Constants for Planar Harmonic Mappings
- On the boundary behavior of orientation-preserving harmonic mappings
- On the preservation of direction-convexity and the Goodman-Saff conjecture
- Ellipses, near ellipses, and harmonic Möbius transformations
- Boundary correspondence and dilatation of harmonic mappings
- Harmonic univalent functions
This page was built for publication: Curvature properties of planar harmonic mappings
