On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials

DOI10.1080/10236198.2021.1887160zbMath1465.42026arXiv2006.11554OpenAlexW3130840409MaRDI QIDQ4991847

Sergey M. Zagorodnyuk

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11554

zbMATH Keywords

asymptoticsintegral representationSobolev orthogonal polynomialsgenerating functionrecurrence relationdifferential equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

On the multiplication operator by an independent variable in matrix Sobolev spaces, On series of orthogonal polynomials and systems of classical type polynomials

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