Geodesic
Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 91-95

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We obtain an asymptotically sharp two-sided estimate of univalence domains on classes of holomorphic mappings of the unit disc into itself with two boundary fixed points and an invariant diameter. The estimate depends on the value of the product of the angular derivatives at the boundary fixed points.
Keywords: holomorphic mapping, fixed point, angular derivative
Mots-clés : domain of univalence. 
@article{IVM_2019_7_a8,
     author = {O. S. Kudryavtseva and A. P. Solodov},
     title = {Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {91--95},
     publisher = {mathdoc},
     number = {7},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_7_a8/}
}
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O. S. Kudryavtseva; A. P. Solodov. Two-sided estimate of univalence domains of holomorphic mappings of the disc into itself with an invariant diameter. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 91-95. http://geodesic.mathdoc.fr/item/IVM_2019_7_a8/