Criteria for close-to-convexity, convex in one direction of planar harmonic mappings

DOI10.1007/S41478-023-00688-YMaRDI QIDQ6649385

Anbareeswaran Sairam Kaliraj, Kapil Jaglan

Publication date: 5 December 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

close-to-convexconvex in one directionunivalent harmonic functionsstarlike in one direction

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)

Cites Work

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• Coefficient conditions for harmonic univalent mappings and hypergeometric mappings
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• On harmonic close-to-convex functions
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• Analytic functions convex in one direction
• Close-to-convex schlicht functions
• On close-to-convex harmonic mappings
• Harmonic univalent functions
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Analytic functions star-like in one direction.

Related Items (1)

Bohr phenomenon for certain subclass of harmonic mappings

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