Ítem
Acceso Abierto
On the Gaussian q-distribution
Título de la revista
Autores
Díaz, Rafael
Pariguan, Eddy
Archivos
Fecha
2009
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Resumen
Abstract
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.
Palabras clave
Keywords
Gaussian Measure , Q-Calculus , Q-Combinatorics
