Sections of stable harmonic convex functions

DOI10.1016/j.na.2014.06.005zbMath1320.31006OpenAlexW2016799701MaRDI QIDQ491652

Saminathan Ponnusamy, Liulan Li

Publication date: 18 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.06.005

zbMATH Keywords

convex functionsclose-to-convex functionsharmonic functions in the disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items

On De la Vallée Poussin means for harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ Coefficients of univalent harmonic mappings ⋮ Sections of univalent harmonic mappings ⋮ Geometric properties of certain subclass of close-to-convex harmonic mappings ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ On a subclass of harmonic close-to-convex mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Integral transforms for logharmonic mappings ⋮ Injectivity of sections of close-to-convex harmonic mappings with functions convex in one direction as analytic part ⋮ On stable harmonic mappings ⋮ Location of the zeros of harmonic trinomials

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