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A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
Chen,Yang1; Filipuk,Galina2; Das Neves Rebocho,Maria3
2023
Conference NameVirtual Conference on Formal and Analytic Solutions of Diff. Equations on the Internet, 2021
Source PublicationContemporary Mathematics
Volume782
Pages111-118
Conference Date28 June 2021through 2 July 2021
Conference PlaceVirtual, Online
PublisherAmerican Mathematical Society
Abstract

In this paper we study one modification of the Jacobi weight. We show that the coefficients in the three term recurrence relation for polynomials orthogonal with respect to this weight satisfy a complicated system of nonlinear difference equations.

DOI10.1090/conm/782/15724
URLView the original
Language英語English
Scopus ID2-s2.0-85161323286
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Document TypeConference paper
CollectionUniversity of Macau
Affiliation1.Faculty of Science and Technology,Department of Mathematics,University of Macau,Taipa,Av. Padre Tomás Pereiro,Macao
2.Institute of Mathematics,University of Warsaw,Warsaw,Banacha 2,02-097,Poland
3.Departamento de Matemática and CMA-UBI,Universidade da Beira Interior,Covilhã,Rua Marquês d’ Ávila e Bolama,6201-001,Portugal
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Chen,Yang,Filipuk,Galina,Das Neves Rebocho,Maria. A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight[C]:American Mathematical Society, 2023, 111-118.
APA Chen,Yang., Filipuk,Galina., & Das Neves Rebocho,Maria (2023). A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight. Contemporary Mathematics, 782, 111-118.
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