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Note on the Convergence of Approximating Rational Functions of Prescribed Type

โœ Scribed by J. L. Walsh


Book ID
123657443
Publisher
National Academy of Sciences
Year
1963
Tongue
English
Weight
511 KB
Volume
50
Category
Article
ISSN
0027-8424

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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