Harmonic shears of regular polygons by hypergeometric functions

DOI10.1006/JMAA.1999.6544zbMath0937.30006OpenAlexW2076649074MaRDI QIDQ1961031

Peter Duren, Kathy A. Driver

Publication date: 30 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6544

zbMATH Keywords

minimal surfacedilatationhypergeometric functionharmonic mappingharmonic shearSchwarz-Cristoffel mapping

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Harmonic shears of slit and polygonal mappings ⋮ A GENERALISATION OF THE CLUNIE–SHEIL-SMALL THEOREM ⋮ A family of minimal surfaces and univalent planar harmonic mappings ⋮ Minimal surfaces over stars ⋮ Harmonic shears and numerical conformal mappings ⋮ Unnamed Item ⋮ Harmonic shears of elliptic integrals ⋮ Harmonic Univalent Mappings and Minimal Graphs ⋮ A GENERALISATION OF THE CLUNIE–SHEIL-SMALL THEOREM II

Cites Work

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• On the Fourier series of a step function
• Geometric properties of harmonic shears
• Harmonic univalent functions

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