ON HARMONIC CONVOLUTIONS INVOLVING A VERTICAL STRIP MAPPING

DOI10.4134/BKMS.2015.52.1.105zbMath1308.31002arXiv1307.6292MaRDI QIDQ5175924

Michael Dorff, Raj Kumar, Sushma Gupta, Sukhjit Singh

Publication date: 26 February 2015

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6292

zbMATH Keywords

harmonic mappings in the unit 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 (12)

On harmonic \(K\)-quasiconformal mappings associated with asymmetric vertical strips ⋮ Directional convexity of normalized harmonic convex mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ Linear combination of convolution of harmonic univalent functions ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip ⋮ Convolutions of planar harmonic strip mappings ⋮ Some new harmonic mappings convex in one direction and their convolution

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