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Overconvergent series of rational functions and universal Laurent series

✍ Scribed by J. Müller; V. Vlachou; A. Yavrian


Book ID
107526859
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
109 KB
Volume
104
Category
Article
ISSN
0021-7670

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Approximation orders of formal Laurent s
✍ Ai-Hua Fan; Jun Wu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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