Uniformly starlike and uniformly convex harmonic mappings

zbMath1400.30028MaRDI QIDQ339255

Anbareeswaran Sairam Kaliraj, Saminathan Ponnusamy, Jugal Kishore Prajapat

Publication date: 10 November 2016

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

zbMATH Keywords

harmonic functionharmonic univalent functionstable harmonic functionuniformly starlike and uniformly convex mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (9)

On De la Vallée Poussin means for harmonic mappings ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ Normalized analytic functions with fixed second coefficient ⋮ Normality of the $p$-harmonic and $\log$-$p$-harmonic mappings ⋮ The radii of fully starlikeness and fully convexity of a harmonic operator ⋮ Harmonic mappings with analytic part convex in one direction ⋮ On a subclass of close-to-convex harmonic mappings ⋮ On certain harmonic mappings with some fixed coefficients

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