On the Gaussian q-distribution |
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Authors: | Rafael Dí az,Eddy Pariguan |
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Affiliation: | a Facultad de Administración, Universidad del Rosario, Bogotá, Colombia b Departamento de Matemáticas, Pontificia Universidad Javeriana, Bogotá, Colombia |
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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. |
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Keywords: | q-Calculus Gaussian measure q-Combinatorics |
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