Darboux transformation of the Laguerre operator

DOI10.1007/S11785-018-0769-6zbMath1466.47029OpenAlexW2791604813MaRDI QIDQ1743883

Ivan M. Kovalyov

Publication date: 16 April 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0769-6

zbMATH Keywords

Laguerre polynomialsDarboux transformationChristoffel formulaLaguerre operatorGeronimus formula

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Operator theory and harmonic analysis (47B90)

Related Items (1)

Shifted Darboux transformations of the generalized Jacobi matrices. I

Cites Work

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• Laguerre polynomial expansions in indefinite inner product spaces
• On boundary values for the Laguerre operator in indefinite inner product spaces
• Darboux transformation and perturbation of linear functionals
• Laguerre polynomial expansions
• Darboux transformation with parameter of generalized Jacobi matrices
• Distributional Weight Functions for Orthogonal Polynomials

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