Sobolev orthogonal polynomials in computing of Hankel determinants
type: Item
instance of: scholarly article
title: Sobolev orthogonal polynomials in computing of Hankel determinants
zbMATH Open document ID: 1254.65060
author: Predrag M. Rajković
author: Paul Barry
author: Marko D. Petković
published in: Linear Algebra and its Applications
publication date: 2012-11-09T00:00:00Z
review text: The closed form computation of Hankel determinants is of great combinatorial interest related to partitions and permutations. In this paper, the authors study closed form evaluation of some special Hankel determinants. They show that such problems are directly connected with the theory of quasi-definite discrete Sobolev orthogonal polynomials by considering a discrete Sobolev inner product, that is, an ordinary inner product plus an atomic inner product. Although a lot of methods are previously known for computation of Hankel determinants, the usage of Sobolev orthogonal polynomials is quite new.
Mathematics Subject Classification ID: 65F40
zbMATH DE Number: 6104547
zbMATH Keywords: Hankel determinant
zbMATH Keywords: closed form evaluation
zbMATH Keywords: discrete orthogonal polynomial
zbMATH Keywords: Sobolev inner product
reviewed by: Liu Xinguo
MaRDI profile type: Publication
full work available at URL: j.laa.2012.06.029
OpenAlex ID: W1968568094
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DOI: 10.1016/J.LAA.2012.06.029
description: scientific article; zbMATH DE number 6104547