Sobolev orthogonal polynomials in computing of Hankel determinants

Rajković, Predrag M. and Barry, Paul and Petković, Marko D. (2012) Sobolev orthogonal polynomials in computing of Hankel determinants. Linear Algebra and Its Applications, 437 (10). pp. 2417-2428. ISSN 0024-3795

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Abstract

In this paper, we study closed form evaluation for some special Hankel determinants arising in combinatorial analysis, especially for the bidirectional number sequences. We show that such problems are directly connected with the theory of quasi-definite discrete Sobolev orthogonal polynomials. It opens a lot of procedural dilemmas which we will try to exceed. A few examples deal with Fibonacci numbers and power sequences will illustrate our considerations. We believe that our usage of Sobolev orthogonal polynomials in Hankel determinant computation is quite new.

Item Type:	Article
Additional Information:	Funding Information: We are very thankful to the anonymous referee for careful proofreading and useful suggestions. This research was supported by the Ministry of Science and Education, the projects No. 174011 and 174013.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2602
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:07
Last Modified:	07 Jun 2023 18:44
URI:	http://repository-testing.wit.ie/id/eprint/4133

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