Univalence of mappings from half-plane to a polygonal domains with infinite sets of vertices

DOI10.1134/S1995080215020080zbMath1323.30008MaRDI QIDQ748235

E. N. Karabasheva, P. L. Shabalin

Publication date: 20 October 2015

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

conformal mappingspolygonal domainsRiemann-Hilbert boundary value problem

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25)

Related Items (2)

On univalent mappings performed by the generalized Christoffel-Schwarz formula ⋮ Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel-Schwarz integral

Uses Software

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Cites Work

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• Homogeneous Hilbert boundary-value problem with countable set of discontinuities and logarithmic singularity of index
• Mapping of a half-plane onto a polygon with infinitely many vertices
• The Hilbert boundary-value problem with a finite index and a countable set of jump discontinuities in coefficients
• Conformal mapping onto numerable polygon with double symmetry
• Representation of Cauchy type integrals
• Asymptotic estimates of integral functions defined by canonical products
• Schwarz-Christoffel Mapping
• Estimates for bloch functions and their generalization
• Schwarz-Pick Type Inequalities

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