Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations
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Publication:3431211
DOI10.1090/S0002-9947-07-04251-1zbMath1112.31002arXivmath/0601519MaRDI QIDQ3431211
Publication date: 5 April 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601519
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 capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
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Cites Work
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- Spectral order and isotonic differential operators of Laguerre-Pólya type
- Variation of discrete spectra
- On the basic representation theorem for convex domination of measures
- Matrix majorization
- On the zeros of meromorphic functions of the form \(f(z)= \sum_{k=1}^ \infty {{a_ k} \over {z-z_ k}}\)
- Differentiators and the geometry of polynomials.
- An analog of the Poincaré separation theorem for normal matrices and the Gauss-Lucas theorem
- Imbedding Conditions for Hermitian and Normal Matrices
- Balayage Defined by the Nonnegative Convex Functions
- On Equilibrium Points of Logarithmic and Newtonian Potentials
- Contributions of Issai Schur to Analysis
- Critical points of certain discrete potentials
- Maximal and linearly inextensible polynomials
- Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
- Comparaison, des mesures portées par un ensemble convexe compact
- One Dimensional Perturbations of Compact Operators
- On a Theorem of Hardy, Littlewood, Polya, and Blackwell
- Inequalities: theory of majorization and its applications