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Rational approximation to ex with negative zeros and poles

✍ Scribed by D.J Newman

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 134 KB
Volume: 20
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(77)90071-5

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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