A partial-sum deformationfor a family of orthogonal polynomials

Autores
Koelink, Erik; Román, Pablo Manuel; Zudilin, Wadim
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
There are several questions one may ask about polynomials qm(x) = qm(x;t) = ∑m n=0 t n pn(x) attached to a family of orthogonal polynomials {pn(x)}n≥0. In this note we draw attention to the naturalness of this partial-sum deformation and related beautiful structures. In particular, we investigate the location and distribution of zeros of qm(x;t) in the case of varying real parameter t.
Fil: Koelink, Erik. Radboud Universiteit Nijmegen; Países Bajos
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Zudilin, Wadim. Radboud Universiteit Nijmegen; Países Bajos
Materia
Orthogonal polynomials
Zeros of orthogonal polynomials
Deformations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/281815
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A partial-sum deformationfor a family of orthogonal polynomialsKoelink, ErikRomán, Pablo ManuelZudilin, WadimOrthogonal polynomialsZeros of orthogonal polynomialsDeformationshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1There are several questions one may ask about polynomials qm(x) = qm(x;t) = ∑m n=0 t n pn(x) attached to a family of orthogonal polynomials {pn(x)}n≥0. In this note we draw attention to the naturalness of this partial-sum deformation and related beautiful structures. In particular, we investigate the location and distribution of zeros of qm(x;t) in the case of varying real parameter t.Fil: Koelink, Erik. Radboud Universiteit Nijmegen; Países BajosFil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Zudilin, Wadim. Radboud Universiteit Nijmegen; Países BajosElsevier Science2025-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/281815Koelink, Erik; Román, Pablo Manuel; Zudilin, Wadim; A partial-sum deformationfor a family of orthogonal polynomials; Elsevier Science; Indagationes Mathematicae-new Series; 36; 6; 11-2025; 1745-17610019-3577CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0019357725000436info:eu-repo/semantics/altIdentifier/doi/10.1016/j.indag.2025.04.007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-03-11T12:49:58Zoai:ri.conicet.gov.ar:11336/281815instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-03-11 12:49:59.212CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A partial-sum deformationfor a family of orthogonal polynomials
title A partial-sum deformationfor a family of orthogonal polynomials
spellingShingle A partial-sum deformationfor a family of orthogonal polynomials
Koelink, Erik
Orthogonal polynomials
Zeros of orthogonal polynomials
Deformations
title_short A partial-sum deformationfor a family of orthogonal polynomials
title_full A partial-sum deformationfor a family of orthogonal polynomials
title_fullStr A partial-sum deformationfor a family of orthogonal polynomials
title_full_unstemmed A partial-sum deformationfor a family of orthogonal polynomials
title_sort A partial-sum deformationfor a family of orthogonal polynomials
dc.creator.none.fl_str_mv Koelink, Erik
Román, Pablo Manuel
Zudilin, Wadim
author Koelink, Erik
author_facet Koelink, Erik
Román, Pablo Manuel
Zudilin, Wadim
author_role author
author2 Román, Pablo Manuel
Zudilin, Wadim
author2_role author
author
dc.subject.none.fl_str_mv Orthogonal polynomials
Zeros of orthogonal polynomials
Deformations
topic Orthogonal polynomials
Zeros of orthogonal polynomials
Deformations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv There are several questions one may ask about polynomials qm(x) = qm(x;t) = ∑m n=0 t n pn(x) attached to a family of orthogonal polynomials {pn(x)}n≥0. In this note we draw attention to the naturalness of this partial-sum deformation and related beautiful structures. In particular, we investigate the location and distribution of zeros of qm(x;t) in the case of varying real parameter t.
Fil: Koelink, Erik. Radboud Universiteit Nijmegen; Países Bajos
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Zudilin, Wadim. Radboud Universiteit Nijmegen; Países Bajos
description There are several questions one may ask about polynomials qm(x) = qm(x;t) = ∑m n=0 t n pn(x) attached to a family of orthogonal polynomials {pn(x)}n≥0. In this note we draw attention to the naturalness of this partial-sum deformation and related beautiful structures. In particular, we investigate the location and distribution of zeros of qm(x;t) in the case of varying real parameter t.
publishDate 2025
dc.date.none.fl_str_mv 2025-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/281815
Koelink, Erik; Román, Pablo Manuel; Zudilin, Wadim; A partial-sum deformationfor a family of orthogonal polynomials; Elsevier Science; Indagationes Mathematicae-new Series; 36; 6; 11-2025; 1745-1761
0019-3577
CONICET Digital
CONICET
url http://hdl.handle.net/11336/281815
identifier_str_mv Koelink, Erik; Román, Pablo Manuel; Zudilin, Wadim; A partial-sum deformationfor a family of orthogonal polynomials; Elsevier Science; Indagationes Mathematicae-new Series; 36; 6; 11-2025; 1745-1761
0019-3577
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0019357725000436
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.indag.2025.04.007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.959383

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