On the polynomial solutions of ordinary differential equations of the fourth order

DOI10.1063/1.526915zbMath0568.34034OpenAlexW2034172610WikidataQ58363727 ScholiaQ58363727MaRDI QIDQ3684451

M. A. Sanchez-Buendia, E. Buendía, Jesús S. Dehesera

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526915

zbMATH Keywords

fourth orderdensity of zeros of polynomial solutions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Qualitative theory for ordinary differential equations (34C99)

Related Items (8)

On the zeros of eigenfunctions of polynomial differential operators ⋮ Sum rules for zeros of polynomials and generalized Lucas polynomials ⋮ Computing the moments of the density of zeros for orthogonal polynomials ⋮ The moments of the density of zeros for the relativistic Hermite and Laguerre polynomials ⋮ Some properties of orthogonal polynomials satisfying fourth order differential equations ⋮ Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation ⋮ A representation formula of sum rules for zeros of polynomials ⋮ On the calculation of moments of the zero density of classical and semiclassical orthogonal polynomials

Cites Work

• The eigenvalue density of rational Jacobi matrices. II
• Lanczos method of tridiagonalization, Jacobi matrices and physics
• On Asymptotic Average Properties of Zeros of Orthogonal Polynomials
• Chebyshev Sets of Polynomials which Satisfy an Ordinary Differential Equation
• Orthogonal polynomials satisfying fourth order differential equations
• Sum rules for zeros of polynomials. I
• The Dynamics of a Disordered Linear Chain

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