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Diagonals of the laurent series of rational functions

โœ Scribed by D. Yu. Pochekutov


Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
460 KB
Volume
50
Category
Article
ISSN
0037-4466

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Approximation orders of formal Laurent s
โœ Ai-Hua Fan; Jun Wu ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

We study formal Laurent series which are better approximated by their Oppenheim convergents. We calculate the Hausdorff dimensions of sets of Laurent series which have given polynomial or exponential approximation orders. Such approximations are faster than the approximation of typical Laurent serie