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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 67–71
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-67-71 (Mi isu377) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Koenigs Function and Fractional Iteration of Functions Analytic in the Unit Disk with Real Coefficients and Fixed Points

O. S. Kudryavtseva

The Volzhsky Institute of Humanities
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-67-71
Abstract: The present paper deals with the problem of fractional iteration of functions analytic in the unit disk, with real Taylor's coefficients. It is assumed that there exist interior and boundary fixed points. The solution is given in terms of the Koenigs function.
Key words: fractional iterates, one-parameter semigroup, infinitesimal generator, Koenigs function, fixed points.
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: O. S. Kudryavtseva, “Koenigs Function and Fractional Iteration of Functions Analytic in the Unit Disk with Real Coefficients and Fixed Points”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 67–71
Citation in format AMSBIB
\Bibitem{Kud13}
\by O.~S.~Kudryavtseva
\paper Koenigs Function and Fractional Iteration of Functions Analytic in the Unit Disk with Real Coefficients and Fixed Points
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 67--71
\mathnet{http://mi.mathnet.ru/isu377}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-67-71}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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