Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/12252
Title: Multiple orthogonal polynomials on the semicircle and applications
Authors: Stanić, Marija
Issue Date: 2014
Abstract: In this paper two types of multiple orthogonal polynomials on the semicircle with respect to a set of r different weight functions are defined. Such polynomials are generalizations of polynomials orthogonal on the semicircle with respect to a complex-valued inner product [f,g]=0πf eiθgeiθweiθdθ. The existence and uniqueness of introduced multiple orthogonal polynomials for certain classes of weight functions are proved. Some properties of multiple orthogonal polynomials on the semicircle including certain recurrence relations of order r+1 are presented. Finally, an application in numerical integration is given. © 2014 Elsevier Inc. All rights reserved.
URI: https://scidar.kg.ac.rs/handle/123456789/12252
Type: article
DOI: 10.1016/j.amc.2014.05.091
ISSN: 0096-3003
SCOPUS: 2-s2.0-84903205653
Appears in Collections:Faculty of Science, Kragujevac

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