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Mathematics of the USSR-Sbornik, 1993, Volume 74, Issue 1, Pages 29–46
DOI: https://doi.org/10.1070/SM1993v074n01ABEH003332 (Mi sm1366) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Fractional iterates of functions analytic in the unit disk, with given fixed points

V. V. Goryainov

Institute of Applied Mathematics and Mechanics, Academy of Sciences of UkSSR
English version PDF (871 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM1993v074n01ABEH003332
Abstract: An infinitesimal description is obtained for fractional iterates of analytic functions on the unit disk under the condition that the functions and their iterates do not move fixed points on the unit circle at which they have finite angular derivatives.
Received: 27.02.1991
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 9, Pages 1281–1299
Bibliographic databases:
UDC: 517.54
MSC: 30D05
Language: English
Original paper language: Russian
Citation: V. V. Goryainov, “Fractional iterates of functions analytic in the unit disk, with given fixed points”, Mat. Sb., 182:9 (1991), 1281–1299; Math. USSR-Sb., 74:1 (1993), 29–46
Citation in format AMSBIB
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    		Математический сборник - 1991 Sbornik: Mathematics
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    Russian version PDF:1289
    English version PDF:11
    References:39
    First page:1
     
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