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Distribution of poles of diagonal rational approximants to functions of fast rational approximability

โœ Scribed by D. S. Lubinsky

Publisher
Springer
Year
1991
Tongue
English
Weight
788 KB
Volume
7
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES

Approximation of analytic functions by r
Approximation of analytic functions by rational functions with prescribed poles
โœ Gaetano Fichera ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 473 KB

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