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Majoration principles and some inequalities for polynomials and rational functions with prescribed poles

โœ Scribed by S. I. Kalmykov

Publisher
Springer US
Year
2009
Tongue
English
Weight
216 KB
Volume
157
Category
Article
ISSN
1573-8795

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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