Equilibrium points of logarithmic potentials on convex domains

DOI10.1090/S0002-9939-07-08791-6zbMath1125.30025arXivmath/0601729OpenAlexW2066238315MaRDI QIDQ5291926

James K. Langley

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601729

zbMATH Keywords

critical pointszeros of meromorphic functionspotantials

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (2)

On some dual frames multipliers with at most countable spectra ⋮ Bounded projective functions and hyperbolic metrics with isolated singularities

Cites Work

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• On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
• Meromorphic functions of the form \(f(z)=\sum^ \infty_{n=1}a_ n/(z-z_ n)\).
• Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations
• On Equilibrium Points of Logarithmic and Newtonian Potentials
• Critical points of certain discrete potentials
• Proof of Edrei's Spread Conjecture

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