A symmetric generalization of Sturm–Liouville problems in discrete spaces

DOI10.1080/10236198.2013.766175zbMath1281.39007arXiv1306.6444OpenAlexW2067554535MaRDI QIDQ2855205

Mohammad Masjed-Jamei, IvÁn Area

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6444

zbMATH Keywords

symmetric solutionseigenfunctionsSturm-Liouville difference equationdiscrete Sturm-Liouville problemsself-adjoint equationorthogonal functions of a discrete variable

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

Discrete semiclassical orthogonal polynomials of class 2 ⋮ On a symmetric generalization of bivariate Sturm-Liouville problems ⋮ A class of symmetric \(q\)-orthogonal polynomials with four free parameters ⋮ A basic class of symmetric orthogonal polynomials of a discrete variable ⋮ A symmetric generalization of Sturm-Liouville problems in \(q\)-difference spaces ⋮ A symmetric sequence of trigonometric orthogonal functions ⋮ On \((p,q)\)-classical orthogonal polynomials and their characterization theorems ⋮ Two finite hypergeometric sequences of discrete orthogonal polynomials ⋮ Two finite sequences of symmetric \(q\)-orthogonal polynomials generated by two \(q\)-Sturm-Liouville problems

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