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 Izv. Akad. Nauk SSSR Ser. Mat., 1976, Volume 40, Issue 2, Pages 326–337 (Mi izv2111)

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

V. P. Petrenko

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.

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English version:
Mathematics of the USSR-Izvestiya, 1976, 10:2, 309–319

Bibliographic databases:

UDC: 517.56
MSC: 30A64, 30A70

Citation: V. P. Petrenko, “On the connection between the deviation values and the Valiron defects for integral curves and variable polyvectors”, Izv. Akad. Nauk SSSR Ser. Mat., 40:2 (1976), 326–337; 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 Izv. Akad. Nauk SSSR Ser. Mat. \yr 1976 \vol 40 \issue 2 \pages 326--337 \mathnet{http://mi.mathnet.ru/izv2111} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=407281} \zmath{https://zbmath.org/?q=an:0366.32003} \transl \jour Math. USSR-Izv. \yr 1976 \vol 10 \issue 2 \pages 309--319 \crossref{https://doi.org/10.1070/IM1976v010n02ABEH001690}