Interlacing and nonorthogonality of spectral polynomials for the Lamé operator

DOI10.1090/S0002-9939-08-09811-0zbMath1189.33012arXiv0810.3702MaRDI QIDQ3625543

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Publication date: 5 May 2009

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

Full work available at URL: https://arxiv.org/abs/0810.3702

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

On the zeros of complex Van Vleck polynomials ⋮ Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials ⋮ A generalization of the Heine-Stieltjes theorem ⋮ On spectral asymptotic of quasi-exactly solvable quartic potential ⋮ Orthogonal polynomials and second-order pseudo-spectral linear differential equations ⋮ On the distribution and interlacing of the zeros of Stieltjes polynomials

Cites Work

• Unnamed Item
• On the zeros of complex Van Vleck polynomials
• Root asymptotics of spectral polynomials for the Lamé operator
• Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials
• Matrix Analysis
• Orthogonal polynomials
• On Stieltjes Polynomials
• FOUR REMARKS ON EIGENVALUES OF LAMÉ'S EQUATION
• The semiclassical density of states for the quantum asymmetric top
• Lamé polynomials, hyperelliptic reductions and Lamé band structure
• On the Zeros of Van Vleck Polynomials

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