On estimates of lengths of lemniscates

DOI10.1134/S0001434612110235zbMath1268.30006MaRDI QIDQ1946445

O. N. Kosukhin

Publication date: 15 April 2013

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

zbMATH Keywords

Lebesgue measureJordan arcJordan domainconformal n-sheeted mappinglemniscate of an algebraic polynomiallength of a lemniscate

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence

Cites Work

• Unnamed Item
• Metric properties of polynomials
• On the length of lemniscates
• New estimates for the length of the Erdos-Herzog-Piranian lemniscate
• Lengths of lemniscates. Variations of rational functions

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