Orthogonal polynomials and higher order singular Sturm-Liouville systems

DOI10.1007/BF00046822zbMath0686.33014OpenAlexW2011714491MaRDI QIDQ1262421

Allan M. Krall, Lance L. Littlejohn

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046822

zbMATH Keywords

singular Sturm-Liouville systems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Ordinary differential operators (34L99)

Related Items (14)

SPECTRAL ANALYSIS OF BESSEL POLYNOMIALS IN KREIN SPACE ⋮ Differential equations having orthogonal polynomial solutions ⋮ Orthogonal polynomials in two variables as solutions of higher order partial differential equations ⋮ Orthogonal polynomials associated to a certain fourth order differential equation ⋮ Some properties of orthogonal polynomials satisfying fourth order differential equations ⋮ Narain transform for spectral deformations of random matrix models ⋮ A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation ⋮ Some remarks about polynomials which are orthogonal with respect to an indefinite weight ⋮ Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations ⋮ Some examples of orthogonal matrix polynomials satisfying odd order differential equations ⋮ Matrix differential equations and scalar polynomials satisfying higher order recursions ⋮ Higher order self-adjoint operators with polynomial coefficients ⋮ A method of constructing Krall's polynomials ⋮ Polynomial solutions of certain differential equations arising in physics

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