Properties of harmonic functions defined by shear construction

DOI10.1007/S40306-017-0235-YzbMath1393.30011OpenAlexW2772416393MaRDI QIDQ723714

Mahdi Jahani Rad, Rasoul Aghalary

Publication date: 24 July 2018

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-017-0235-y

zbMATH Keywords

shear constructionharmonic starlike and convex functionsradii problemunivalent harmonic function

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)

Cites Work

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• Harmonic mappings convex in one or every direction
• Weak subordination for convex univalent harmonic functions
• Harmonic functions starlike in the unit disk
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Convolutions of planar harmonic convex mappings
• On the preservation of direction-convexity and the Goodman-Saff conjecture
• Harmonic univalent functions
• Some Classes of Regular Univalent Functions
• Univalent Functions and Nonanalytic Curves
• On Starlike and Close-to-Convex Functions

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