Associated orthogonal polynomials of the first kind and Darboux transformations

DOI10.1016/j.jmaa.2021.125883zbMath1481.42036arXiv2103.02321OpenAlexW3133798901MaRDI QIDQ2069913

P. H. Villamil-Hernández, Francisco Marcellán, Juan Carlos García-Ardila

Publication date: 21 January 2022

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

Full work available at URL: https://arxiv.org/abs/2103.02321

zbMATH Keywords

LU factorizationDarboux transformationsQR factorizationfirst kind orthogonal polynomialsUL factorization

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 (5)

Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications ⋮ Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Division problem of a regular symmetric form the case x³u = λxv

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