Sobolev orthogonal polynomials in computing of Hankel determinants

DOI10.1016/j.laa.2012.06.029zbMath1254.65060OpenAlexW1968568094MaRDI QIDQ1758446

Predrag M. Rajković, Marko D. Petković, Paul Barry

Publication date: 9 November 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.029

zbMATH Keywords

Hankel determinantSobolev inner productdiscrete orthogonal polynomialclosed form evaluation

Mathematics Subject Classification ID

Numerical computation of determinants (65F40)

Related Items (1)

Decomposition of some Hankel matrices generated by the generalized rencontres polynomials

Cites Work

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• Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms
• Hankel determinants of sums of consecutive Motzkin numbers
• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Some identities for determinants of structured matrices
• A new approach to the asymptotics of Sobolev type orthogonal polynomials
• Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
• Advanced determinant calculus: a complement
• Closed-form expression for Hankel determinants of the Narayana polynomials
• The Hankel transform of the sum of consecutive generalized Catalan numbers

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