Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions

Autores
Di Rocco, Hector Omar; Aguirre, Manuel Antonio
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and Lorentzian function), the function N(a,b) as the convolution of Gassian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the the Kummer functions M(α,ς,α2). The expansion are valid for all values of the parameter α (the relations between Lorentzian and Gaussian widths at the half maxima). Previos analytical works were know only when the parameter α ≤ 1, or were based on numerical interpolations or emperical aproximations. Also, new series and asymtotic expansion are presented.
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
Fil: Aguirre, Manuel Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
Materia
ERROR FUNCTIONS
KUMMER FUNCTIONS
CONVOLUTION
VOIGT FUNCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/242588
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer FunctionsDi Rocco, Hector OmarAguirre, Manuel AntonioERROR FUNCTIONSKUMMER FUNCTIONSCONVOLUTIONVOIGT FUNCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and Lorentzian function), the function N(a,b) as the convolution of Gassian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the the Kummer functions M(α,ς,α2). The expansion are valid for all values of the parameter α (the relations between Lorentzian and Gaussian widths at the half maxima). Previos analytical works were know only when the parameter α ≤ 1, or were based on numerical interpolations or emperical aproximations. Also, new series and asymtotic expansion are presented.Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; ArgentinaFil: Aguirre, Manuel Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; ArgentinaPolish Academy of Sciences. Institute of Physics2004-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242588Di Rocco, Hector Omar; Aguirre, Manuel Antonio; Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 106; 6; 6-2004; 817-8260587-42461898-794XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://przyrbwn.icm.edu.pl/APP/PDF/106/a106z602.pdfinfo:eu-repo/semantics/altIdentifier/doi/10.12693/APhysPolA.106.817info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:48:35Zoai:ri.conicet.gov.ar:11336/242588instacron: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:34982025-09-03 09:48:35.884CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
title Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
spellingShingle Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
Di Rocco, Hector Omar
ERROR FUNCTIONS
KUMMER FUNCTIONS
CONVOLUTION
VOIGT FUNCTION
title_short Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
title_full Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
title_fullStr Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
title_full_unstemmed Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
title_sort Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
dc.creator.none.fl_str_mv Di Rocco, Hector Omar
Aguirre, Manuel Antonio
author Di Rocco, Hector Omar
author_facet Di Rocco, Hector Omar
Aguirre, Manuel Antonio
author_role author
author2 Aguirre, Manuel Antonio
author2_role author
dc.subject.none.fl_str_mv ERROR FUNCTIONS
KUMMER FUNCTIONS
CONVOLUTION
VOIGT FUNCTION
topic ERROR FUNCTIONS
KUMMER FUNCTIONS
CONVOLUTION
VOIGT FUNCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and Lorentzian function), the function N(a,b) as the convolution of Gassian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the the Kummer functions M(α,ς,α2). The expansion are valid for all values of the parameter α (the relations between Lorentzian and Gaussian widths at the half maxima). Previos analytical works were know only when the parameter α ≤ 1, or were based on numerical interpolations or emperical aproximations. Also, new series and asymtotic expansion are presented.
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
Fil: Aguirre, Manuel Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
description In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and Lorentzian function), the function N(a,b) as the convolution of Gassian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the the Kummer functions M(α,ς,α2). The expansion are valid for all values of the parameter α (the relations between Lorentzian and Gaussian widths at the half maxima). Previos analytical works were know only when the parameter α ≤ 1, or were based on numerical interpolations or emperical aproximations. Also, new series and asymtotic expansion are presented.
publishDate 2004
dc.date.none.fl_str_mv 2004-06
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/11336/242588
Di Rocco, Hector Omar; Aguirre, Manuel Antonio; Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 106; 6; 6-2004; 817-826
0587-4246
1898-794X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242588
identifier_str_mv Di Rocco, Hector Omar; Aguirre, Manuel Antonio; Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 106; 6; 6-2004; 817-826
0587-4246
1898-794X
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://przyrbwn.icm.edu.pl/APP/PDF/106/a106z602.pdf
info:eu-repo/semantics/altIdentifier/doi/10.12693/APhysPolA.106.817
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Physics
publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Physics
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
_version_ 1842268930932998144
score 13.13397

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