A Class of Integral Identities with Hermitian Matrix Argument
ABSTRACT: The gamma, beta and Dirichlet functions have been generalized in several ways by Ingham, Siegel, Bellman and Olkin. These authors defined them as integrals having the integrand as a scalar function of real symmetric matrix. In this article, we have defined and studied these functions when...
- Autores:
-
Nagar, Daya Krishna
Gupta, Arjun Kumar
Sánchez Herrera, Luz Estela
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2006
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/33794
- Acceso en línea:
- https://hdl.handle.net/10495/33794
- Palabra clave:
- Funciones gamma
Functions, gamma
Funciones beta
Functions, beta
Integrales
Integrals
Matriz hermitiana
Funciones Dirichlet
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc/4.0/
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| dc.title.spa.fl_str_mv |
A Class of Integral Identities with Hermitian Matrix Argument |
| title |
A Class of Integral Identities with Hermitian Matrix Argument |
| spellingShingle |
A Class of Integral Identities with Hermitian Matrix Argument Funciones gamma Functions, gamma Funciones beta Functions, beta Integrales Integrals Matriz hermitiana Funciones Dirichlet |
| title_short |
A Class of Integral Identities with Hermitian Matrix Argument |
| title_full |
A Class of Integral Identities with Hermitian Matrix Argument |
| title_fullStr |
A Class of Integral Identities with Hermitian Matrix Argument |
| title_full_unstemmed |
A Class of Integral Identities with Hermitian Matrix Argument |
| title_sort |
A Class of Integral Identities with Hermitian Matrix Argument |
| dc.creator.fl_str_mv |
Nagar, Daya Krishna Gupta, Arjun Kumar Sánchez Herrera, Luz Estela |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Gupta, Arjun Kumar Sánchez Herrera, Luz Estela |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.lemb.none.fl_str_mv |
Funciones gamma Functions, gamma Funciones beta Functions, beta Integrales Integrals |
| topic |
Funciones gamma Functions, gamma Funciones beta Functions, beta Integrales Integrals Matriz hermitiana Funciones Dirichlet |
| dc.subject.proposal.spa.fl_str_mv |
Matriz hermitiana Funciones Dirichlet |
| description |
ABSTRACT: The gamma, beta and Dirichlet functions have been generalized in several ways by Ingham, Siegel, Bellman and Olkin. These authors defined them as integrals having the integrand as a scalar function of real symmetric matrix. In this article, we have defined and studied these functions when the integrand is a scalar function of Hermitian matrix. |
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2006 |
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2006 |
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2023-03-08T15:15:37Z |
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2023-03-08T15:15:37Z |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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Nagar, Daya & Gupta, Arjun & Sánchez, Luz. (2006). A Class of Integral Identities with Hermitian Matrix Argument. Proceedings of the American Mathematical Society. 134. 3329-3341. 10.2307/4098042. |
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0002-9939 |
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https://hdl.handle.net/10495/33794 |
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10.2307/4098042 |
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1088-6826 |
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Nagar, Daya & Gupta, Arjun & Sánchez, Luz. (2006). A Class of Integral Identities with Hermitian Matrix Argument. Proceedings of the American Mathematical Society. 134. 3329-3341. 10.2307/4098042. 0002-9939 10.2307/4098042 1088-6826 |
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https://hdl.handle.net/10495/33794 |
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eng |
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eng |
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Proc. Am. Math. Soc. |
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2341 |
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11 |
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2329 |
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134 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Proceedings of the American Mathematical Society |
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https://creativecommons.org/licenses/by-nc/4.0/ |
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openAccess |
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13 |
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American Mathematical Society |
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Providence, Estados Unidos |
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Universidad de Antioquia |
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Nagar, Daya KrishnaGupta, Arjun KumarSánchez Herrera, Luz EstelaAnálisis Multivariado2023-03-08T15:15:37Z2023-03-08T15:15:37Z2006Nagar, Daya & Gupta, Arjun & Sánchez, Luz. (2006). A Class of Integral Identities with Hermitian Matrix Argument. Proceedings of the American Mathematical Society. 134. 3329-3341. 10.2307/4098042.0002-9939https://hdl.handle.net/10495/3379410.2307/40980421088-6826ABSTRACT: The gamma, beta and Dirichlet functions have been generalized in several ways by Ingham, Siegel, Bellman and Olkin. These authors defined them as integrals having the integrand as a scalar function of real symmetric matrix. In this article, we have defined and studied these functions when the integrand is a scalar function of Hermitian matrix.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODICOL000053213application/pdfengAmerican Mathematical SocietyProvidence, Estados Unidoshttps://creativecommons.org/licenses/by-nc/4.0/http://creativecommons.org/licenses/by/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2A Class of Integral Identities with Hermitian Matrix ArgumentArtículo 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 gammaFunctions, gammaFunciones betaFunctions, betaIntegralesIntegralsMatriz hermitianaFunciones DirichletProc. Am. Math. 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