Orthogonal polynomials associated with an inverse quadratic spectral transform

DOI10.1016/j.camwa.2010.12.037zbMath1217.42050arXiv0909.0619OpenAlexW1976353998MaRDI QIDQ552236

Ana Peña, Francisco Marcellán, Manuel Alfaro, M. Luisa Rezola

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0619

zbMATH Keywords

orthogonal polynomialsJacobi matricesrecurrence relationslinear functionals

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) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (15)

О новой комбинации последовательности ортогональных полиномов ⋮ Orthogonality of quasi-orthogonal polynomials ⋮ On an inverse problem for a linear combination of orthogonal polynomials ⋮ On linearly related orthogonal polynomials in several variables ⋮ Some inverse problems for \(d\)-orthogonal polynomials ⋮ A note on the Geronimus transformation and Sobolev orthogonal polynomials ⋮ Multiple Geronimus transformations ⋮ Orthogonality of the Dickson polynomials of the $(k+1)$-th kind ⋮ Orthogonal polynomials associated with an inverse spectral transform. The cubic case ⋮ Higher order coherent pairs ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Geronimus transformations of bivariate linear functionals ⋮ On quasi-orthogonal polynomials of orderr ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

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