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Conditions for the representability of analytic functions by series of rational functions

✍ Scribed by T. A. Leont'eva

Publisher: SP MAIK Nauka/Interperiodica
Year: 1974
Tongue: English
Weight: 245 KB
Volume: 15
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf02102389

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From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha