A Harmonic Measure Interpretation of the Arithmetic–Geometric Mean

DOI10.1080/00029890.2007.11920451zbMath1156.31002OpenAlexW2400419065WikidataQ58267797 ScholiaQ58267797MaRDI QIDQ5445952

Lesley A. Ward, Byron L. Walden

Publication date: 6 March 2008

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2007.11920451

zbMATH Keywords

harmonic measurehypergeometric functionconformal mapelliptic integralarithmetic-geometric mean

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Conformal mappings of special domains (30C20) Capacity and harmonic measure in the complex plane (30C85) Means (26E60) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

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