Harmonic approximations of analytic functions

DOI10.1080/17476933.2022.2076841OpenAlexW4281644002WikidataQ114098012 ScholiaQ114098012MaRDI QIDQ6053059

Rahim Kargar

Publication date: 25 September 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2022.2076841

zbMATH Keywords

numerical methodsconvexharmonic mappingsKarush-Kuhn-Tucker conditionsstarlike

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Numerical methods in conformal mappings (65E10)

Cites Work

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• Starlike approximations of analytic functions
• One parameter family of univalent biharmonic mappings
• Harmonic functions starlike in the unit disk
• Convex approximations of analytic functions
• Polynomial approximation of certain biharmonic mappings
• Approximation of certain non-vanishing analytic functions in a parabolic region
• Locally univalent approximations of analytic functions
• Harmonic univalent functions
• Radius of close-to-convexity and fully starlikeness of harmonic mappings

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