A note on orthogonal polynomials and oscillation criteria for second order linear difference equations

DOI10.1016/0022-247X(86)90221-0zbMath0603.39001MaRDI QIDQ1082549

Erik A. van Doorn

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialssecond-order linear difference equationoscillatory solutionchain sequenceSturm separation theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)

Related Items (1)

Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey

Cites Work

• Unnamed Item
• Riccati type transformations for second-order linear difference equation. II
• Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices
• Riccati type transformations for second-order linear difference equations
• Spectral analysis of second order difference equations
• On Oscillation Properties and the Interval of Orthogonality of Orthogonal Polynomials
• Spectral Properties of Orthogonal Polynomials on Unbounded Sets
• Growth and Oscillation Properties of Second Order Linear Difference Equations

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