Geodesic
A variant of a theorem of Ahlfors on mappings of strips
Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 95-104
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The basic result of this paper is a proof of a result analogous to the well-known theorem of L. Ahlfors on the distortion of a strip mapping (in the course of the proof we shall reprove Ahlfors' theorem). Bibliography: 1 title. 
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M. A. Evgrafov. A variant of a theorem of Ahlfors on mappings of strips. Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 95-104. http://geodesic.mathdoc.fr/item/SM_1973_19_1_a5/

[1] Dzh. Dzhenkins, Odnolistnye funktsii i konformnye otobrazheniya, IL, Moskva, 1962