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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1293–1303 (Mi smj1370)  
The Fatou and Julia sets of multivalued analytical functions

P. A. Gumenyuk

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (227 kB)
Abstract: We propose a generalization of some problems of complex dynamics which includes the study of iterations of multivalued functions and compositions of various single-valued functions. We generalize two classical results concerning the Julia set.
Keywords: complex dynamics, iteration, composition, multivalued function, Fatou set, Julia set.
Received: 12.12.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1047–1054
DOI: https://doi.org/10.1023/A:1021117301173
Bibliographic databases:
UDC: 517.538.7
Language: Russian
Citation: P. A. Gumenyuk, “The Fatou and Julia sets of multivalued analytical functions”, Sibirsk. Mat. Zh., 43:6 (2002), 1293–1303; Siberian Math. J., 43:6 (2002), 1047–1054
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\vol 43
\issue 6
\pages 1047--1054
\crossref{https://doi.org/10.1023/A:1021117301173}
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