On the computation of modules of long quadrilaterals

DOI10.1007/BF01888169zbMath0729.30008MaRDI QIDQ805785

Walter K. Hayman, Dieter Gaier

Publication date: 1991

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

conformal moduluslong quadrilaterals

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Approximation in the complex plane (30E10) Schwarz-Christoffel-type mappings (30C30)

Related Items

On the theory and application of a domain decomposition method for computing conformal modules ⋮ Dieter Gaier's contributions to numerical conformal mapping ⋮ Conformal mapping of long quadrilaterals and thick doubly connected domains ⋮ Conformal mappings of stretched polyominoes onto half-plane ⋮ On composition principles for reduced moduli ⋮ On the reduced modulus of the complex sphere ⋮ Generalized condensers and the asymptotics of their capacities under degeneration of some plates ⋮ On variational principles of conformal mappings ⋮ Robin functions and distortion theorems for regular mappings ⋮ On capacity computation for symmetric polygonal condensers ⋮ Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames ⋮ Extremal problems involving logarithmic and Green capacity ⋮ Schwarz–Christoffel accessory parameter for quadrilaterals via isomonodromy ⋮ A domain decomposition method for approximating the conformal modules of long quadrilaterals

Cites Work

• A domain decomposition method for conformal mapping onto a rectangle
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• Notes on Two-Dimensional Electric Field Problems
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