On the Gaussian q-distribution
We present a study of the Gaussian q-measure introduced by Díaz and Teruel from a probabilistic and from a combinatorial viewpoint. A main motivation for the introduction of the Gaussian q-measure is that its moments are exactly the q-analogues of the double factorial numbers. We show that the Gauss...
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| Formato: | Artículo (Article) |
| Lenguaje: | Inglés (English) |
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2009
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| Acceso en línea: | http://repository.urosario.edu.co/handle/10336/18755 |
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ir-10336-187552019-09-19T12:38:03Z On the Gaussian q-distribution Díaz, Rafael Pariguan, Eddy Gaussian Measure Q-Calculus Q-Combinatorics Cuadratura de Gauss Integración numérica Análisis numérico We present a study of the Gaussian q-measure introduced by Díaz and Teruel from a probabilistic and from a combinatorial viewpoint. A main motivation for the introduction of the Gaussian q-measure is that its moments are exactly the q-analogues of the double factorial numbers. We show that the Gaussian q-measure interpolates between the uniform measure on the interval [- 1, 1] and the Gaussian measure on the real line. © 2009 Elsevier Inc. All rights reserved. 2009 2018-11-29T16:06:01Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion ISSN 0022-247X http://repository.urosario.edu.co/handle/10336/18755 eng https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-license info:eu-repo/semantics/openAccess application/pdf Andrews, G., (1938) The Theory of Partitions, , Cambridge Univ. Press, Cambridge |
| institution |
EdocUR - Universidad del Rosario |
| collection |
DSpace |
| language |
Inglés (English) |
| topic |
Gaussian Measure Q-Calculus Q-Combinatorics Cuadratura de Gauss Integración numérica Análisis numérico |
| spellingShingle |
Gaussian Measure Q-Calculus Q-Combinatorics Cuadratura de Gauss Integración numérica Análisis numérico Díaz, Rafael Pariguan, Eddy On the Gaussian q-distribution |
| description |
We present a study of the Gaussian q-measure introduced by Díaz and Teruel from a probabilistic and from a combinatorial viewpoint. A main motivation for the introduction of the Gaussian q-measure is that its moments are exactly the q-analogues of the double factorial numbers. We show that the Gaussian q-measure interpolates between the uniform measure on the interval [- 1, 1] and the Gaussian measure on the real line. © 2009 Elsevier Inc. All rights reserved. |
| format |
Artículo (Article) |
| author |
Díaz, Rafael Pariguan, Eddy |
| author_facet |
Díaz, Rafael Pariguan, Eddy |
| author_sort |
Díaz, Rafael |
| title |
On the Gaussian q-distribution |
| title_short |
On the Gaussian q-distribution |
| title_full |
On the Gaussian q-distribution |
| title_fullStr |
On the Gaussian q-distribution |
| title_full_unstemmed |
On the Gaussian q-distribution |
| title_sort |
on the gaussian q-distribution |
| publishDate |
2009 |
| url |
http://repository.urosario.edu.co/handle/10336/18755 |
| _version_ |
1651341275794767872 |
| score |
12,131701 |