Geodesic
A bound for the distortion near the boundary in the conformal mapping of infinite strips
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 723-728 Cet article a éte moissonné depuis la source Math-Net.Ru

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A bound is given for the modulus of the derivative of the function effecting the conformal transformation of an infinite strip of constant width into a strip with curvilinear boundaries which are concave in the neighborhood of an nfinitely distant point. 
@article{MZM_1968_4_6_a12,
     author = {V. S. Konyukhovskii},
     title = {A~bound for the distortion near the boundary in the conformal mapping of infinite strips},
     journal = {Matemati\v{c}eskie zametki},
     pages = {723--728},
     year = {1968},
     volume = {4},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a12/}
}
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V. S. Konyukhovskii. A bound for the distortion near the boundary in the conformal mapping of infinite strips. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 723-728. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a12/