Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions
Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.
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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: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/190723 |
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| _version_ | 1832564122482376704 |
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| author | Daya K. Nagar Raúl Alejandro Morán-Vásquez Arjun K. Gupta |
| author_facet | Daya K. Nagar Raúl Alejandro Morán-Vásquez Arjun K. Gupta |
| author_sort | Daya K. Nagar |
| collection | DOAJ |
| description | Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory. |
| format | Article |
| id | doaj-art-56989b4a72bf4d5e8d3222a1b1effb1e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-56989b4a72bf4d5e8d3222a1b1effb1e2025-02-03T01:11:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/190723190723Extended Matrix Variate Hypergeometric Functions and Matrix Variate DistributionsDaya K. Nagar0Raúl Alejandro Morán-Vásquez1Arjun K. Gupta2Instituto de Matemáticas, Universidad de Antioquia, Calle 67, No. 53-108, Medellín, ColombiaInstituto de Matemáticas, Universidad de Antioquia, Calle 67, No. 53-108, Medellín, ColombiaDepartment of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, USAHypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.http://dx.doi.org/10.1155/2015/190723 |
| spellingShingle | Daya K. Nagar Raúl Alejandro Morán-Vásquez Arjun K. Gupta Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions International Journal of Mathematics and Mathematical Sciences |
| title | Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions |
| title_full | Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions |
| title_fullStr | Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions |
| title_full_unstemmed | Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions |
| title_short | Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions |
| title_sort | extended matrix variate hypergeometric functions and matrix variate distributions |
| url | http://dx.doi.org/10.1155/2015/190723 |
| work_keys_str_mv | AT dayaknagar extendedmatrixvariatehypergeometricfunctionsandmatrixvariatedistributions AT raulalejandromoranvasquez extendedmatrixvariatehypergeometricfunctionsandmatrixvariatedistributions AT arjunkgupta extendedmatrixvariatehypergeometricfunctionsandmatrixvariatedistributions |