An inverse problem associated with (1,1) symmetric coherent linear functionals

DOI10.1080/10652469.2019.1590354zbMath1416.33016OpenAlexW2923789984MaRDI QIDQ5742557

Herbert Dueñas Ruiz, Alejandro Molano Molano, Francisco Marcellán

Publication date: 15 May 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1590354

zbMATH Keywords

orthogonal polynomialsinverse problemssemiclassical linear 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)

Cites Work

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• On rational transformations of linear functionals: direct problem
• Orthogonal polynomials generated by a linear structure relation: inverse problem
• \((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials
• Companion linear functionals and Sobolev inner products: a case study
• On an inverse problem for a linear combination of orthogonal polynomials
• Generalized coherent pairs

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