Distortion theorems for univalent meromorphic functions on an annulus

DOI10.1007/s11202-010-0023-6zbMath1202.30024OpenAlexW1993363283MaRDI QIDQ606016

V. N. Dubinin, Elena G. Prilepkina

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0023-6

zbMATH Keywords

Schwarzian derivativeannulusdistortion theoremmeromorphic functioncondenser capacityRobin function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (1)

Boundary distortion and the Schwarzian derivative of a univalent function in a circular annulus

Cites Work

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• The Teichmüller extremal problem and distortion theorems in the theory of univalent functions
• Asymptotics of the module of a degenerating condenser and some of their applications
• Angular derivatives of bounded univalent functions and extremal partitions of the unit disk.
• Extremal problems of function theory connected with the \(n\)-fold symmetry
• Monotonicity of the generalized reduced module
• Extremal elements in certain classes of conformal mappings of an annulus
• Univalent functions without common values in a multiply connected domain
• Robin functions and distortion theorems for regular mappings
• Dynamic models of mechanisms with nonlinear characteristics
• Some Theorems on Boundary Distortion
• Symmetrization in the geometric theory of functions of a complex variable
• Some Inequalities in the Theory of Functions

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