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.

UDC: 517.56

MSC: 30A64, 30A70

Received: 03.07.1974

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

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