Asymptotics of the Conformal Modulus of a Nonsymmetric Unbounded Doubly-Connected Domain Under Stretching

We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-connected domain, non-symmetric with respect to the coordinate axes, when stretched in the direction of the abscissa axis with coefficient . Therefore, we give a partial answer to a problem, suggested by M. Vourinen,...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2022-10, Vol.43 (10), p.2977-2988
Main Authors: Nguyen, G. V., Nasyrov, S. R.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Asymptotic properties
Domains
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary:We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-connected domain, non-symmetric with respect to the coordinate axes, when stretched in the direction of the abscissa axis with coefficient . Therefore, we give a partial answer to a problem, suggested by M. Vourinen, for the case of an arbitrary unbounded domain.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222130340