Integral estimates of lengths of level lines of rational functions and zolotarev’s problem

Integral estimates of lengths of level lines of rational functions and zolotarev’s problem

Integral estimates of lengths of level lines (lemniscates) of rational functions of a complex variable are obtained. These estimates are related to the problem of separation of compact sets by rational functions and to Zolotarev’s problem.

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Veröffentlicht in:Mathematical Notes 2013-09, Vol.94 (3-4), p.314-319
1. Verfasser: Danchenko, V. I.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:Integral estimates of lengths of level lines (lemniscates) of rational functions of a complex variable are obtained. These estimates are related to the problem of separation of compact sets by rational functions and to Zolotarev’s problem.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434613090022