Asymptotics of the Exterior Conformal Modulus of a Symmetric Quadrilateral under Stretching Map

In this work, we study the distortion of the exterior conformal modulus of a symmetric quadrilateral, when stretched in the direction of the abscissa axis with the coefficient . By using some facts from the theory of elliptic integrals, we confirm that the asymptotic behavior of this modulus does no...

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Veröffentlicht in:Lobachevskii journal of mathematics 2023-04, Vol.44 (4), p.1289-1298
Hauptverfasser: Dyutin, A., Nguyen, Giang V.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this work, we study the distortion of the exterior conformal modulus of a symmetric quadrilateral, when stretched in the direction of the abscissa axis with the coefficient . By using some facts from the theory of elliptic integrals, we confirm that the asymptotic behavior of this modulus does not depend on the shape of the boundary of the quadrilateral; moreover, it is equivalent to as .
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223040078