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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 4, Pages 416–426
DOI: https://doi.org/10.17516/1997-1397-2016-9-4-416-426 (Mi jsfu500) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Three families of functions of complexity one

Valery K. Beloshapka

Department of Mechanics and Mathematics, Moscow State University, GSP-1, Moscow, 119991, Russia
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DOI: https://doi.org/10.17516/1997-1397-2016-9-4-416-426
Abstract: Three rare families of functions of analytic complexity one were studied. Main results are the description of linear differential equations with solutions of complexity one (Theorem 2), the description of $L$-pairs of complexity one (Theorem 5), the description of $O(2)$-simple functions (Theorem 7).
Keywords: rare family, analytic complexity.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00709_a
13-01-12417_ofi_m
The research was supported by the Russian Foundation for Basic Research, grants no. 14-01-00709-a and no. 13-01-12417-ofi-m2.
Received: 17.06.2016
Received in revised form: 29.07.2016
Accepted: 24.08.2016
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Valery K. Beloshapka, “Three families of functions of complexity one”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 416–426
Citation in format AMSBIB
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\by Valery~K.~Beloshapka
\paper Three families of functions of complexity one
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 4
\pages 416--426
\mathnet{http://mi.mathnet.ru/jsfu500}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-4-416-426}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412010800002}
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    • This publication is cited in the following 2 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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