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...
| Autores Principales: | , |
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| Formato: | Artículo (Article) |
| Lenguaje: | Inglés (English) |
| Publicado: |
2009
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| Materias: | |
| Acceso en línea: | http://repository.urosario.edu.co/handle/10336/18755 |
| Sumario: | 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. |
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