A note on zeros of orthogonal polynomials generated by canonical transformations

In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and C...

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Fecha de publicación:: 2024

Institución:: Universidad Pedagógica y Tecnológica de Colombia

Repositorio:: RiUPTC: Repositorio Institucional UPTC

Idioma:: spa

id	REPOUPTC2_3d1d0f63493c1aecfcec0a34a63b43a4
oai_identifier_str	oai:repositorio.uptc.edu.co:001/15384
network_acronym_str	REPOUPTC2
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spelling	2024-04-092024-07-08T14:24:10Z2024-07-08T14:24:10Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/1535710.19053/01217488.v15.n1.2024.15357https://repositorio.uptc.edu.co/handle/001/15384In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and Christoffel transformationsEn este trabajo se estudia el comportamiento de ceros de polinomios ortogonales asociados a transformaciones espectrales can\'{o}nicas de funciones de peso sobre $[0,\infty)$. A saber, mediante t\'{e}cnicas est\'{a}ndar, obtenemos propiedades de entrelazado para ceros asociados a algunos casos particulares de transformaciones racionales y de Christoffel.spaUniversidad Pedagógica y Tecnológica de ColombiaCiencia En Desarrollo; Vol. 15 No. 1 (2024): Vol 15, Núm.1 (2024): Enero-JunioCiencia en Desarrollo; Vol. 15 Núm. 1 (2024): Vol 15, Núm.1 (2024): Enero-Junio2462-76580121-7488Polinomios OrtogonalesTransformaciones CanónicasCerosOrthogonal polynomialsCanonical transformationsZerosA note on zeros of orthogonal polynomials generated by canonical transformationsUna nota sobre ceros de polinomios ortogonales generados por transformaciones canónicasinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/access_right/c_abf2Molano, Luis Alejandro MolanoCuida Plazas, Germán Darío001/15384oai:repositorio.uptc.edu.co:001/153842025-07-18 10:56:33.086metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv	A note on zeros of orthogonal polynomials generated by canonical transformations
dc.title.es-ES.fl_str_mv	Una nota sobre ceros de polinomios ortogonales generados por transformaciones canónicas
title	A note on zeros of orthogonal polynomials generated by canonical transformations
spellingShingle	A note on zeros of orthogonal polynomials generated by canonical transformations Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros
title_short	A note on zeros of orthogonal polynomials generated by canonical transformations
title_full	A note on zeros of orthogonal polynomials generated by canonical transformations
title_fullStr	A note on zeros of orthogonal polynomials generated by canonical transformations
title_full_unstemmed	A note on zeros of orthogonal polynomials generated by canonical transformations
title_sort	A note on zeros of orthogonal polynomials generated by canonical transformations
dc.subject.es-ES.fl_str_mv	Polinomios Ortogonales Transformaciones Canónicas Ceros
topic	Polinomios Ortogonales Transformaciones Canónicas Ceros Orthogonal polynomials Canonical transformations Zeros
dc.subject.en-US.fl_str_mv	Orthogonal polynomials Canonical transformations Zeros
description	In this work, the behavior of zeros of orthogonal polynomials associated with canonical spectral transformations of weight functions on $[0,\infty)$ is studied. Namely, by means of standard techniques, we obtain interlacing properties for zeros associated with some particular cases of rational and Christoffel transformations
publishDate	2024
dc.date.accessioned.none.fl_str_mv	2024-07-08T14:24:10Z
dc.date.available.none.fl_str_mv	2024-07-08T14:24:10Z
dc.date.none.fl_str_mv	2024-04-09
dc.type.none.fl_str_mv	info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv	http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv	http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15357 10.19053/01217488.v15.n1.2024.15357
dc.identifier.uri.none.fl_str_mv	https://repositorio.uptc.edu.co/handle/001/15384
url	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15357 https://repositorio.uptc.edu.co/handle/001/15384
identifier_str_mv	10.19053/01217488.v15.n1.2024.15357
dc.language.iso.none.fl_str_mv	spa
language	spa
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv	http://purl.org/coar/access_right/c_abf2
dc.publisher.es-ES.fl_str_mv	Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv	Ciencia En Desarrollo; Vol. 15 No. 1 (2024): Vol 15, Núm.1 (2024): Enero-Junio
dc.source.es-ES.fl_str_mv	Ciencia en Desarrollo; Vol. 15 Núm. 1 (2024): Vol 15, Núm.1 (2024): Enero-Junio
dc.source.none.fl_str_mv	2462-7658 0121-7488
institution	Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv	Repositorio Institucional UPTC
repository.mail.fl_str_mv	repositorio.uptc@uptc.edu.co
_version_	1839633835070849024

A note on zeros of orthogonal polynomials generated by canonical transformations

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