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On the length of lemniscates

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Publication:1590953
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DOI10.1307/mmj/1030132418zbMath0958.30002OpenAlexW2160256761MaRDI QIDQ1590953

Alexandre Eremenko, Walter K. Hayman

Publication date: 1 January 2001

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030132418


zbMATH Keywords

rational functionpolynomiallogarithmic capacity


Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)


Related Items (10)

Unnamed Item ⋮ On the geometry of random lemniscates ⋮ A property of the planar measure of the lemniscates ⋮ On the Lengths of Level Curves ⋮ On the parametrized modular group ⋮ Inradius of random lemniscates ⋮ On estimates of lengths of lemniscates ⋮ On the length of level sets of real functions ⋮ The arc length of the lemniscate \(\left|w^n\!+\!c\right|=1\) ⋮ A Markov-type inequality for arbitrary plane continua






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