On the pre-Schwarzian norm of certain logharmonic mappings

DOI10.1007/s40840-024-01668-6arXiv2308.12505OpenAlexW4392198086MaRDI QIDQ6151577

Sushil Pandit, Md Firoz Ali

Publication date: 11 March 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.12505

zbMATH Keywords

Schwarzian derivativeconvex functionBloch functionpre-Schwarzian derivative

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

• Univalent logharmonic mappings in the plane
• Almost locally univalent functions
• Criteria for bounded valence of harmonic mappings
• Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
• The Schwarzian derivative for harmonic mappings
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Schwarzian derivative and Landau's theorem for logharmonic mappings
• Quasiconformal extension of harmonic mappings in the plane
• ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
• Schlichtheitskriterien und Jordangebiete.
• Univalent Functions in H ⋅ _ H   (D)
• Some properties of univalent log-harmonic mappings
• On Bloch Functions
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• The Schwarzian derivative and schlicht functions
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