Far Eastern Mathematical Journal

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On the lemniscates of rational functions

Dubinin V.N., Afanaseva-Grigoreva A.S.

2017, issue 2, P. 201-209

Abstract

The impact of the connectivity of some lemniscates of the rational function on the absolute value of its derivative is considered. The role of the lemniscates in the problems of the extremal decomposition of the Riemann sphere is discussed.

Keywords: rational function, lemniscate, extremal decomposition, condenser capacity, symmetrization

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References

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