Infinite Matrix Products and the Representation of the Matrix Gamma Function
We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma funct...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/564287 |
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| _version_ | 1832565713459478528 |
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| author | J.-C. Cortés L. Jódar Francisco J. Solís Roberto Ku-Carrillo |
| author_facet | J.-C. Cortés L. Jódar Francisco J. Solís Roberto Ku-Carrillo |
| author_sort | J.-C. Cortés |
| collection | DOAJ |
| description | We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma function is also provided. |
| format | Article |
| id | doaj-art-5aab4e266c224fbd8a18d2ab8ae20ba9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5aab4e266c224fbd8a18d2ab8ae20ba92025-02-03T01:06:52ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/564287564287Infinite Matrix Products and the Representation of the Matrix Gamma FunctionJ.-C. Cortés0L. Jódar1Francisco J. Solís2Roberto Ku-Carrillo3Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainCIMAT, 36000 Guanajuato, GTO, MexicoUniversidad Autónoma de Aguascalientes, 20131 Aguascalientes, AGS, MexicoWe introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma function is also provided.http://dx.doi.org/10.1155/2015/564287 |
| spellingShingle | J.-C. Cortés L. Jódar Francisco J. Solís Roberto Ku-Carrillo Infinite Matrix Products and the Representation of the Matrix Gamma Function Abstract and Applied Analysis |
| title | Infinite Matrix Products and the Representation of the Matrix Gamma Function |
| title_full | Infinite Matrix Products and the Representation of the Matrix Gamma Function |
| title_fullStr | Infinite Matrix Products and the Representation of the Matrix Gamma Function |
| title_full_unstemmed | Infinite Matrix Products and the Representation of the Matrix Gamma Function |
| title_short | Infinite Matrix Products and the Representation of the Matrix Gamma Function |
| title_sort | infinite matrix products and the representation of the matrix gamma function |
| url | http://dx.doi.org/10.1155/2015/564287 |
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