Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings

DOI10.1007/S40840-016-0336-0zbMath1361.30028OpenAlexW2294117806MaRDI QIDQ523229

Stacey Muir

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0336-0

zbMATH Keywords

subordinationconvolutionconvexharmonic mappingsstar-likeconvex in one direction

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (8)

Convolutions of harmonic right half-plane mappings ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ On the product of planar harmonic mappings ⋮ The radii of fully starlikeness and fully convexity of a harmonic operator ⋮ On directional convexity of harmonic mappings in the plane ⋮ Directional convexity of harmonic mappings ⋮ Convolutions of normalized harmonic mappings ⋮ Radii of starlikeness and convexity for harmonic functions defined by shear construction

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