Holomorphic mappings of a strip into itself with bounded distortion at infinity

DOI10.1134/S0081543817060074zbMath1387.30055OpenAlexW2769800202MaRDI QIDQ1701883

Viktor V. Goryainov

Publication date: 27 February 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817060074

zbMATH Keywords

distortion theoremsintegral representationsholomorphic self-mappings of a strip

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (4)

Estimate for the domain of univalence in the class of holomorphic self-maps of a disk with two boundary fixed points ⋮ Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter ⋮ Loewner-Kufarev equation for a strip with an analogue of hydrodynamic normalization ⋮ Two-sided estimate of univalence domains for holomorphic mappings of the unit disk into itself keeping its diameter

Cites Work

• On the Iteration of Analytic Functions in a Halfplane, I
• Holomorphic mappings of the unit disc into itself with two fixed points
• On variational principles of conformal mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Holomorphic mappings of a strip into itself with bounded distortion at infinity