A note on Mehler's formula

Descripción del Articulo

In this paper we propose an original proof of Mehler expansion of the Gaussian distribution in terms of probabilistic Hermite polynomials.
Detalles Bibliográficos
Autores: Canchoa Quispe, Alessandri, Camiz, Sergio, Ocaña, Eladio
Formato: artículo
Fecha de Publicación:2025
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/6623
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623
Nivel de acceso:acceso abierto
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spelling A note on Mehler's formulaA note on Mehler's formulaA note on Mehler's formulaCanchoa Quispe, AlessandriCamiz, SergioOcaña, EladioIn this paper we propose an original proof of Mehler expansion of the Gaussian distribution in terms of probabilistic Hermite polynomials.In this paper we propose an original proof of Mehler expansion of the Gaussian distribution in terms of probabilistic Hermite polynomials.In this paper we propose an original proof of Mehler expansion of the Gaussian distribution in terms of probabilistic Hermite polynomials.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 86 - 89Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 86 - 89Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 86 - 892411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623/6857https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66232025-07-26T15:43:48Z
dc.title.none.fl_str_mv A note on Mehler's formula
A note on Mehler's formula
A note on Mehler's formula
title A note on Mehler's formula
spellingShingle A note on Mehler's formula
Canchoa Quispe, Alessandri
title_short A note on Mehler's formula
title_full A note on Mehler's formula
title_fullStr A note on Mehler's formula
title_full_unstemmed A note on Mehler's formula
title_sort A note on Mehler's formula
dc.creator.none.fl_str_mv Canchoa Quispe, Alessandri
Camiz, Sergio
Ocaña, Eladio
author Canchoa Quispe, Alessandri
author_facet Canchoa Quispe, Alessandri
Camiz, Sergio
Ocaña, Eladio
author_role author
author2 Camiz, Sergio
Ocaña, Eladio
author2_role author
author
description In this paper we propose an original proof of Mehler expansion of the Gaussian distribution in terms of probabilistic Hermite polynomials.
publishDate 2025
dc.date.none.fl_str_mv 2025-07-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6623/6857
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 86 - 89
Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 86 - 89
Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 86 - 89
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.098175
A note on Mehler's formula
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