Parametric characteristics of high-order tangential Loewner's slits

DOI10.1134/S199508021806015XzbMath1423.30009OpenAlexW2887779350MaRDI QIDQ1990018

Dmitry Vladimirovich Prokhorov

Publication date: 29 October 2018

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

Full work available at URL: https://doi.org/10.1134/s199508021806015x

zbMATH Keywords

univalent functionLoewner equationdriving functiontangential slit

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Capacity and harmonic measure in the complex plane (30C85) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• Conformal mapping asymptotics at a cusp
• Exact solutions for Loewner evolutions
• Collisions and spirals of Loewner traces
• Development of the mapping function at an analytic corner
• Asymptotic behaviour of the mapping function at an analytic cusp with small perturbation of angles
• Quasiconformal variation of slit domains
• Singular and Tangent Slit Solutions to the Löwner Equation
• Regularity of Loewner Curves
• Asymptotic behaviour of the Riemann mapping function at analytic cusps
• The Loewner differential equation and slit mappings
• Smoothness of Loewner slits
• On tangential slit solution of the Loewner equation
• On Conformal Mapping of Infinite Strips

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