A note on the valency of harmonic maps

DOI10.1006/jmaa.1997.5782zbMath0904.30013OpenAlexW1982449438MaRDI QIDQ1381610

Abdallah Lyzzaik

Publication date: 18 March 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5782

zbMATH Keywords

harmonic mappinglocal homeomorphism\(p\)-valency

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (1)

Valancy of harmonic mappings onto bounded convex domains

Cites Work

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• Harmonic mappings of multiply connected domains
• The exact bound on the number of zeros of harmonic polynomials
• On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro
• On the valence of some classes of harmonic maps
• The valence of harmonic polynomials
• Univalence Criteria for Harmonic Mappings in Multiply Connected Domains

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