On harmonic close-to-convex functions

DOI10.1007/BF03321849zbMath1257.30012OpenAlexW2087958986MaRDI QIDQ1930688

Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj

Publication date: 11 January 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321849

zbMATH Keywords

univalenceGaussian hypergeometric functionscoefficient inequalityclose-to-convexunivalent harmonic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (9)

Relations of the class \(\mathcal{U}(\lambda )\) to other families of functions ⋮ Sections of univalent harmonic mappings ⋮ Unnamed Item ⋮ Constants and characterization for certain classes of univalent harmonic mappings ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ Harmonic close-to-convex functions and minimal surfaces ⋮ Univalence criterion for harmonic mappings and Φ-like functions ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings

Cites Work

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• Coefficient conditions for harmonic univalent mappings and hypergeometric mappings
• Harmonic univalent functions
• Univalence of alexander transform under new mapping properties
• Variability regions for certain families of harmonic univalent mappings
• The Solution of Algebraic and Transcendental Equations by Iteration

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