Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators

DOI10.1088/0305-4470/39/13/010zbMath1097.33004OpenAlexW2091455365MaRDI QIDQ5201590

Walter Van Assche, Jonathan Coussement

Publication date: 19 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/13/010

zbMATH Keywords

differential equationmultiple orthogonal polynomialsHermite-Padé approximationsimultaneous rational approximationlowering operatorraising operator

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) Other functions coming from differential, difference and integral equations (33E30)

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