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In the structure of exceptional sets of entire curves
V. P. Petrenko
Abstract:
Let $\vec G(z)=\{g_1(z),\dots,g_p(z)\}$ be a $p$-dimensional entire curve,
$D(\vec G)=\{\vec a:\delta(\vec a,\vec G)>0\}$, $V(\vec G)=\{\vec a:\Delta(\vec a,\vec G)>0\}$ and $\Omega(\vec G)=\{\vec a:\beta(\vec a,\vec G)>0\}$ its sets of deficient values and set of positive deviations. This paper is devoted to an investigation of the structure of $D(\vec G)$, $V(\vec G)$ and $\Omega(\vec G)$ without any supplementary assumption that the vectors belong to a fixed admissible system. The main result shows that these sets are exceptional in a certain sense.
Bibliography: 11 titles.
Received: 21.08.1975
Citation:
V. P. Petrenko, “In the structure of exceptional sets of entire curves”, Math. USSR-Izv., 11:2 (1977), 335–352
Linking options:
https://www.mathnet.ru/eng/im1807https://doi.org/10.1070/IM1977v011n02ABEH001720 https://www.mathnet.ru/eng/im/v41/i2/p352
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Abstract page: | 227 | Russian version PDF: | 61 | English version PDF: | 12 | References: | 49 | First page: | 1 |
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