Lamé differential equations and electrostatics

DOI10.1090/S0002-9939-00-05638-0zbMath0952.34023OpenAlexW1581826949MaRDI QIDQ4508171

Walter Van Assche, Dimitar K. Dimitrov

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05638-0

zbMATH Keywords

Laurent polynomialsGegenbauer polynomialselectrostatic equilibriumLamé differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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Cites Work

• Unnamed Item
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• An electrostatics model for zeros of general orthogonal polynomials
• The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material
• Zeros of Stieltjes and Van Vleck Polynomials
• A Strong Stieltjes Moment Problem
• Symmetric Orthogonal Polynomials and the Associated Orthogonal L-Polynomials