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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.
Received: 03.07.1974
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
Linking options:
https://www.mathnet.ru/eng/im2111https://doi.org/10.1070/IM1976v010n02ABEH001690 https://www.mathnet.ru/eng/im/v40/i2/p326
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Abstract page: | 261 | Russian version PDF: | 81 | English version PDF: | 17 | References: | 51 | First page: | 1 |
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