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.
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Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
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description	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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title	Integral estimates of lengths of level lines of rational functions and zolotarev’s problem
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