WKB approximation and Krall-type orthogonal polynomials

DOI10.1023/A:1006006519197zbMath0913.33002OpenAlexW1531886147MaRDI QIDQ1273046

J. Petronilho, Francisco Marcellán, Renato Álvarez-Nodarse

Publication date: 7 March 1999

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

Full work available at URL: https://doi.org/10.1023/a:1006006519197

zbMATH Keywords

orthogonal polynomialsJacobi matricesspectral propertiesWKB approximationtridiagonal matricesdistribution of zerosKrall-type polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

On the Krall-type discrete polynomials ⋮ Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions. ⋮ On a Direct Uvarov-Chihara Problem and Some Extensions ⋮ On the generalized Askey-Wilson polynomials ⋮ Perturbations on the antidiagonals of Hankel matrices ⋮ Zeros of orthogonal polynomials generated by canonical perturbations of measures ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ Limit relations between \(q\)-Krall type orthogonal polynomials ⋮ On the Krall-type polynomials on \(q\)-quadratic lattices ⋮ Darboux transformation and perturbation of linear functionals ⋮ On the limit of generalized non-standard \(q\)-Racah polynomials

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