Some inequalities for polynomials and rational functions associated with lemniscates

DOI10.1007/s10958-013-1432-4zbMath1290.30003OpenAlexW2038212612MaRDI QIDQ378648

V. N. Dubinin

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1432-4

zbMATH Keywords

rational functionpolynomiallemniscate

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

On the harmonic measure and capacity of rational lemniscates

Cites Work

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• Geometric function theory and Smale's mean value conjecture
• Inequalities for critical values of polynomials
• Area, capacity and diameter versions of Schwarz’s Lemma
• SMALE’S PROBLEM FOR CRITICAL POINTS ON CERTAIN TWO RAYS
• The fundamental theorem of algebra and complexity theory
• A bound for Smale's mean value conjecture for complex polynomials

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