Some properties of planar \(p\)-harmonic and log-\(p\)-harmonic mappings
From MaRDI portal
Publication:360940
zbMath1273.30015MaRDI QIDQ360940
Saminathan Ponnusamy, Xian Tao Wang, Peijin Li
Publication date: 28 August 2013
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: http://math.usm.my/bulletin/html/vol36_3_5.html
convex functionsstarlike functions\(C^1\) functions\(p\)-harmonic mappinglocal univalencelog-\(p\)-harmonic mapping
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20)
Related Items
On the univalence of poly-analytic functions ⋮ Geometric properties of log-polyharmonic mappings ⋮ Construction and determination of univalent biharmonic mappings ⋮ Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings ⋮ On the Bohr Inequality ⋮ Landau-type theorems of polyharmonic mappings and log-\(p\)-harmonic mappings ⋮ Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings ⋮ Quasiconformal extensions of biharmonic mappings and strongly starlike biharmonic mappings ⋮ On geometrical properties of starlike logharmonic mappings ⋮ Compositions of polyharmonic mappings ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings ⋮ Harmonic K-quasiconformal mappings from unit disk onto half planes ⋮ Coefficients estimate for harmonic \(v\)-Bloch mappings and harmonic \(K\)-quasiconformal mappings ⋮ Convolution properties of some harmonic mappings in the right half-plane ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation ⋮ On the Bohr's inequality for stable mappings ⋮ Coefficient estimates and Bloch's constant in some classes of harmonic mappings