Linear combinations of harmonic quasiconformal mappings convex in one direction

DOI10.2996/kmj/1467830143zbMath1345.30022OpenAlexW2464104597MaRDI QIDQ309679

Yong Sun, Yue Ping Jiang, Antti H. Rasila

Publication date: 7 September 2016

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1467830143

zbMATH Keywords

a new class of harmonic quasiconforml mappingsconvexity in a direction

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Quasiconformal mappings in the complex plane (30C62)

Related Items (12)

Directional Convexity of Combinations of Harmonic Half-Plane and Strip Mappings ⋮ Linear combination of convolution of harmonic univalent functions ⋮ ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Some Properties of Log-Harmonic Functions Product ⋮ On directional convexity of harmonic mappings in the plane ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ Linear combinations of univalent mappings with complex coefficients ⋮ On convex combinations of harmonic mappings ⋮ Convolution and convex combination of harmonic mappings ⋮ Completely monotone sequences and harmonic mappings

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