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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Tipo de recurso:
Fecha de publicación:
2009
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/18755
Acceso en línea:
http://repository.urosario.edu.co/handle/10336/18755
Palabra clave:
Gaussian Measure
Q-Calculus
Q-Combinatorics
Cuadratura de Gauss
Integración numérica
Análisis numérico
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Abierto (Texto Completo)
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spelling 3a5d6172-f71f-4281-85d6-bc8642168412600ba9a726b-0fd4-4512-8ab5-fda9d203252f6002018-11-29T16:06:01Z2018-11-29T16:06:01Z20092009We 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.application/pdfISSN 0022-247Xhttp://repository.urosario.edu.co/handle/10336/18755eng9No. 11Journal of Mathematical Analysis and ApplicationsVol. 358Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol. 358/No. 1 (2009) pp. 1-9https://ac.els-cdn.com/S0022247X09003400/1-s2.0-S0022247X09003400-main.pdf?_tid=acf11a8c-c89a-4fdc-bf42-6d2f46113fa6&acdnat=1540058283_e5c6061aab854018ed8fcf3d209ec56cAbierto (Texto Completo)https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-licensehttp://purl.org/coar/access_right/c_abf2Andrews, G., (1938) The Theory of Partitions, , Cambridge Univ. Press, Cambridgeinstname:Universidad del Rosarioreponame:Repositorio Institucional EdocURGaussian MeasureQ-CalculusQ-CombinatoricsCuadratura de GaussIntegración numéricaAnálisis numéricoOn the Gaussian q-distributionarticleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501Díaz, RafaelPariguan, EddyDíaz, RafaelPariguan, EddyORIGINAL147.pdfapplication/pdf1916483https://repository.urosario.edu.co/bitstreams/92c7977a-24fb-48cb-ba5a-991b49f43808/download56dd3d266ed964dac4cdf0129e1f266aMD51TEXT147.pdf.txt147.pdf.txtExtracted texttext/plain20282https://repository.urosario.edu.co/bitstreams/0b6d1dd8-c1c2-4f01-95b5-764cf858a737/downloadb69c6fdff970d05e973d86ed9b9e5815MD52THUMBNAIL147.pdf.jpg147.pdf.jpgGenerated Thumbnailimage/jpeg4366https://repository.urosario.edu.co/bitstreams/d03666f5-0599-45de-a861-82fcf2bfced4/download55a79d23d5aa4bd0bd9ab3a709bdbe3cMD5310336/18755oai:repository.urosario.edu.co:10336/187552019-09-19 07:38:03.190837https://www.elsevier.com/about/policies/open-access-licenses/elsevier-user-licensehttps://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
dc.title.spa.fl_str_mv On the Gaussian q-distribution
title On the Gaussian q-distribution
spellingShingle On the Gaussian q-distribution
Gaussian Measure
Q-Calculus
Q-Combinatorics
Cuadratura de Gauss
Integración numérica
Análisis numérico
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
dc.subject.keyword.eng.fl_str_mv Gaussian Measure
Q-Calculus
Q-Combinatorics
topic Gaussian Measure
Q-Calculus
Q-Combinatorics
Cuadratura de Gauss
Integración numérica
Análisis numérico
dc.subject.lemb.spa.fl_str_mv Cuadratura de Gauss
Integración numérica
Análisis numérico
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.
publishDate 2009
dc.date.created.none.fl_str_mv 2009
dc.date.issued.none.fl_str_mv 2009
dc.date.accessioned.none.fl_str_mv 2018-11-29T16:06:01Z
dc.date.available.none.fl_str_mv 2018-11-29T16:06:01Z
dc.type.eng.fl_str_mv article
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dc.relation.citationIssue.none.fl_str_mv No. 1
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dc.relation.citationTitle.none.fl_str_mv Journal of Mathematical Analysis and Applications
dc.relation.citationVolume.none.fl_str_mv Vol. 358
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rights_invalid_str_mv Abierto (Texto Completo)
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dc.format.mimetype.none.fl_str_mv application/pdf
institution Universidad del Rosario
dc.source.bibliographicCitation.spa.fl_str_mv Andrews, G., (1938) The Theory of Partitions, , Cambridge Univ. Press, Cambridge
dc.source.instname.none.fl_str_mv instname:Universidad del Rosario
dc.source.reponame.none.fl_str_mv reponame:Repositorio Institucional EdocUR
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