Abstract
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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Original Russian Text © V. I. Danchenko, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 3, pp. 331–337.
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Danchenko, V.I. Integral estimates of lengths of level lines of rational functions and zolotarev’s problem. Math Notes 94, 314–319 (2013). https://doi.org/10.1134/S0001434613090022
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DOI: https://doi.org/10.1134/S0001434613090022