Properties and applications of extended hypergeometric functions

ABSTRACT: In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally i...

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Autores:
Nagar, Daya Krishna
Morán Vásquez, Raúl Alejandro
Gupta, Arjun Kumar
Tipo de recurso:
Article of investigation
Fecha de publicación:
2014
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/41784
Acceso en línea:
https://hdl.handle.net/10495/41784
Palabra clave:
Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Funciones gamma
Functions, gamma
Funciones de coulomb
Coulomb functions
Distribución de Gauss
Gauss distribution
Series hipergeométricas
Hypergeometric series
Funciones hipergeométricas
Hypergeometric functions
Rights
openAccess
License
http://creativecommons.org/licenses/by/2.5/co/
id UDEA2_bd6e6004d2c9fed625aaec879647a1af
oai_identifier_str oai:bibliotecadigital.udea.edu.co:10495/41784
network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Properties and applications of extended hypergeometric functions
dc.title.translated.spa.fl_str_mv Propiedades y aplicaciones de funciones hipergeométricas extendida
title Properties and applications of extended hypergeometric functions
spellingShingle Properties and applications of extended hypergeometric functions
Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Funciones gamma
Functions, gamma
Funciones de coulomb
Coulomb functions
Distribución de Gauss
Gauss distribution
Series hipergeométricas
Hypergeometric series
Funciones hipergeométricas
Hypergeometric functions
title_short Properties and applications of extended hypergeometric functions
title_full Properties and applications of extended hypergeometric functions
title_fullStr Properties and applications of extended hypergeometric functions
title_full_unstemmed Properties and applications of extended hypergeometric functions
title_sort Properties and applications of extended hypergeometric functions
dc.creator.fl_str_mv Nagar, Daya Krishna
Morán Vásquez, Raúl Alejandro
Gupta, Arjun Kumar
dc.contributor.author.none.fl_str_mv Nagar, Daya Krishna
Morán Vásquez, Raúl Alejandro
Gupta, Arjun Kumar
dc.contributor.researchgroup.spa.fl_str_mv Análisis Multivariado
dc.subject.lemb.none.fl_str_mv Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Funciones gamma
Functions, gamma
Funciones de coulomb
Coulomb functions
Distribución de Gauss
Gauss distribution
Series hipergeométricas
Hypergeometric series
Funciones hipergeométricas
Hypergeometric functions
topic Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Funciones gamma
Functions, gamma
Funciones de coulomb
Coulomb functions
Distribución de Gauss
Gauss distribution
Series hipergeométricas
Hypergeometric series
Funciones hipergeométricas
Hypergeometric functions
description ABSTRACT: In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally in statistical distribution theory.
publishDate 2014
dc.date.issued.none.fl_str_mv 2014
dc.date.accessioned.none.fl_str_mv 2024-09-04T19:57:00Z
dc.date.available.none.fl_str_mv 2024-09-04T19:57:00Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Nagar, D. K., Morán-Vásquez, R. A., & Gupta, A. K. (2014). Properties and Applications of Extended Hypergeometric Functions. Ingeniería Y Ciencia, 10(19), 11–31. https://doi.org/10.17230/ingciencia.10.19.1
dc.identifier.issn.none.fl_str_mv 1794-9165
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/41784
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.10.19.1
dc.identifier.eissn.none.fl_str_mv 2256-4314
identifier_str_mv Nagar, D. K., Morán-Vásquez, R. A., & Gupta, A. K. (2014). Properties and Applications of Extended Hypergeometric Functions. Ingeniería Y Ciencia, 10(19), 11–31. https://doi.org/10.17230/ingciencia.10.19.1
1794-9165
10.17230/ingciencia.10.19.1
2256-4314
url https://hdl.handle.net/10495/41784
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Ing. Cienc.
dc.relation.citationendpage.spa.fl_str_mv 31
dc.relation.citationissue.spa.fl_str_mv 19
dc.relation.citationstartpage.spa.fl_str_mv 11
dc.relation.citationvolume.spa.fl_str_mv 10
dc.relation.ispartofjournal.spa.fl_str_mv Ingeniería y Ciencia
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by/2.5/co/
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.extent.spa.fl_str_mv 21 páginas
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dc.publisher.spa.fl_str_mv Universidad EAFIT, Escuela de Ciencias Aplicadas e Ingeniería
dc.publisher.place.spa.fl_str_mv Medellín, Colombia
institution Universidad de Antioquia
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spelling Nagar, Daya KrishnaMorán Vásquez, Raúl AlejandroGupta, Arjun KumarAnálisis Multivariado2024-09-04T19:57:00Z2024-09-04T19:57:00Z2014Nagar, D. K., Morán-Vásquez, R. A., & Gupta, A. K. (2014). Properties and Applications of Extended Hypergeometric Functions. Ingeniería Y Ciencia, 10(19), 11–31. https://doi.org/10.17230/ingciencia.10.19.11794-9165https://hdl.handle.net/10495/4178410.17230/ingciencia.10.19.12256-4314ABSTRACT: In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally in statistical distribution theory.RESUMEN: En este artículo estudiamos varias propiedades de las funciones hipergeométrica de Gauss extendida e hipergeométrica confluente extendida. Derivamos varias integrales, desigualdades y establecemos relaciones entre estas y otras funciones especiales. También mostramos que estas funciones ocurren naturalmente en la teoría de distribuciones estadísticas.COL000053221 páginasapplication/pdfengUniversidad EAFIT, Escuela de Ciencias Aplicadas e IngenieríaMedellín, Colombiahttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Properties and applications of extended hypergeometric functionsPropiedades y aplicaciones de funciones hipergeométricas extendidaArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionFunciones betaFunctions, betaTeoría de las distribuciones (análisis funcional)Theory of distributions (Functional analysis)HiperfuncionesHyperfunctionsFunciones gammaFunctions, gammaFunciones de coulombCoulomb functionsDistribución de GaussGauss distributionSeries hipergeométricasHypergeometric seriesFunciones hipergeométricasHypergeometric functionsIng. 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