On conformal moduli of polygonal quadrilaterals

DOI10.1007/s11856-009-0043-8zbMath1182.30011arXivmath/0701387OpenAlexW2591713726MaRDI QIDQ836107

V. N. Dubinin, Matti Vuorinen

Publication date: 31 August 2009

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

Full work available at URL: https://arxiv.org/abs/math/0701387

zbMATH Keywords

conformal modulusgeometric transformationgeneralized quadrilateral

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Quasiconformal mappings in the complex plane (30C62)

Related Items (8)

Generalized elliptic integrals ⋮ Conformal mappings of stretched polyominoes onto half-plane ⋮ Extremal functions for modules of systems of measures ⋮ Conformal modulus of the exterior of two rectilinear slits ⋮ On variational principles of conformal mappings ⋮ Asymptotics of the modules of mirror symmetric doubly connected domains under stretching ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames ⋮ Asymptotic behavior of the capacity of a condenser as some of its plates contract to points

Cites Work

• On harmonic measures, conformal moduli and some elementary symmetry methods
• Generalized elliptic integrals and modular equations
• Radial averaging of domains, estimates for Dirichlet integrals and applications
• Confromal invariants and function-theoretic null-sets
• Symmetrization in the geometric theory of functions of a complex variable
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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