On rational transformations of linear functionals: direct problem

DOI10.1016/j.jmaa.2004.04.065zbMath1066.33008OpenAlexW1992622100MaRDI QIDQ1888222

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

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.065

zbMATH Keywords

orthogonal polynomialsrecurrence relationslinear functionals

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (11)

On the linear functionals associated to linearly related sequences of orthogonal polynomials ⋮ О новой комбинации последовательности ортогональных полиномов ⋮ (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices ⋮ Orthogonality of quasi-orthogonal polynomials ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ On linearly related sequences of derivatives of orthogonal polynomials ⋮ Higher order coherent pairs ⋮ An inverse problem associated with (1,1) symmetric coherent linear functionals ⋮ Orthogonal polynomials associated with an inverse quadratic spectral transform ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations

Cites Work

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• On the assignment of a Dirac-mass for a regular and semi-classical form
• A set of orthogonal polynomials induced by a given orthogonal polynomial
• Rational spectral transformations and orthogonal polynomials
• On linearly related orthogonal polynomials and their functionals
• Companion linear functionals and Sobolev inner products: a case study
• The connection between systems of polynomials orthogonal with respect to different distribution functions

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