✦ LIBER ✦

On approximation to an analytic function by rational functions of best approximation

✍ Scribed by J. L. Walsh

Publisher: Springer-Verlag
Year: 1934
Tongue: French
Weight: 780 KB
Volume: 38
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01170632

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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