The distribution of zeros and poles of asymptotically extremal rational functions for Zolotarev's problem

DOI10.1006/JATH.2000.3551zbMath0988.41010OpenAlexW1998294604MaRDI QIDQ5937256

Edward B. Saff, A. L. Levin

Publication date: 16 January 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3551

zbMATH Keywords

asymptotic distributionpotential theoryrational functionszeros and polesZolotarev problem

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Potentials and capacities on other spaces (31C15)

Related Items (1)

Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method

Cites Work

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• The distribution of zeros of asymptotically extremal polynomials
• The asymptotic distribution of zeros of minimal Blaschke products
• Optimal ray sequences of rational functions connected with the Zolotarev problem

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