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A law of large numbers for the zeroes of Heine-Stieltjes polynomials

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Publication:1425072
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DOI10.1023/A:1025764002987zbMath1060.33015OpenAlexW27641535MaRDI QIDQ1425072

Maung Min-Oo, John A. Toth, Alain Bourget, Dmitry Jakobson

Publication date: 15 March 2004

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025764002987


zbMATH Keywords

Lamé equationasymptotic zero distributionthermodynamical limitHeine-Stieltjes polynomials


Mathematics Subject Classification ID

Strong limit theorems (60F15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly solvable models; Bethe ansatz (82B23)


Related Items

Electrostatic models for zeros of polynomials: old, new, and some open problems ⋮ Choquet order for spectra of higher Lamé operators and orthogonal polynomials ⋮ Central limit theorems for the zeros of Lamé polynomials ⋮ Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models



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