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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 2, Pages 309–319
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001690
(Mi im2111)
 

On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors

V. P. Petrenko
References:
Abstract: In this paper an estimate is obtained for the deviation value of a $p$-dimensional integral curve of finite lower order in terms of its lower order and its Valiron defect. As a corollary an analogous estimate is obtained for the deviation of a variable polyvector. Also introduced here are the concepts of averaged defects and deviation values for integral curves. It is shown that the estimates for the deviation values of integral curves remain true also for averaged deviation values.
Bibliography: 17 titles.
Received: 03.07.1974
Bibliographic databases:
UDC: 517.56
MSC: 30A64, 30A70
Language: English
Original paper language: Russian
Citation: V. P. Petrenko, “On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors”, Math. USSR-Izv., 10:2 (1976), 309–319
Citation in format AMSBIB
\Bibitem{Pet76}
\by V.~P.~Petrenko
\paper On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 309--319
\mathnet{http://mi.mathnet.ru//eng/im2111}
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001690}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407281}
\zmath{https://zbmath.org/?q=an:0366.32003}
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  • https://www.mathnet.ru/eng/im/v40/i2/p326
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    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:261
    Russian version PDF:81
    English version PDF:17
    References:51
    First page:1
     
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