Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems
DOI10.1111/sapm.12603arXiv2212.12429MaRDI QIDQ6091772
Publication date: 27 November 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12429
differential operatorsgeneralized eigenvalue problemLaurent biorthogonal polynomialsexceptional Laurent biorthogonal polynomialHendriksen-van Rossum polynomials
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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) General spectral theory of ordinary differential operators (34L05) Other special orthogonal polynomials and functions (33C47) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)
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