Geodesic
Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus
Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 827-835

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New distortion theorems are proved for holomorphic univalent functions bounded in a circular annulus and preserving one of its boundary components. In particular, inequalities including the Schwarzian derivative at a boundary point of the annulus are established. All results follow from the properties of the conformal capacity of condensers and symmetrization.
Keywords: univalent function, angular derivative, Schwarzian derivative, condenser capacity, symmetrization. 
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     author = {V. N. Dubinin},
     title = {Boundary {Distortion} and the {Schwarzian} {Derivative} of a {Univalent} {Function} in a {Circular} {Annulus}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {6},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_6_a3/}
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V. N. Dubinin. Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus. Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 827-835. http://geodesic.mathdoc.fr/item/MZM_2023_113_6_a3/