A probabilistic generalization of the Stirling numbers of the second kind
Associated to each random variable Y satisfying appropriate moment conditions, we introduce a different generalization of the Stirling numbers of the second kind. Some characterizations and specific examples of such generalized numbers are provided. As far as their applications are concerned, attent...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Zaragoza |
| Repositorio: | Zaguán. Repositorio Digital de la Universidad de Zaragoza |
| OAI Identifier: | oai:zaguan.unizar.es:130437 |
| Acceso en línea: | http://zaguan.unizar.es/record/130437 |
| Access Level: | acceso abierto |
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A probabilistic generalization of the Stirling numbers of the second kindAdell, J.A.Lekuona, A.Associated to each random variable Y satisfying appropriate moment conditions, we introduce a different generalization of the Stirling numbers of the second kind. Some characterizations and specific examples of such generalized numbers are provided. As far as their applications are concerned, attention is focused in extending in various ways the classical formula for sums of powers on arithmetic progressions. Illustrations involving rising factorials, Bell polynomials, polylogarithms, and a certain class of Appell polynomials, in connection with appropriate random variables Y in each case, are discussed in detail.2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://zaguan.unizar.es/record/130437reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/semantics/openAccessoai:zaguan.unizar.es:1304372026-05-29T13:59:51Z |
| dc.title.none.fl_str_mv |
A probabilistic generalization of the Stirling numbers of the second kind |
| title |
A probabilistic generalization of the Stirling numbers of the second kind |
| spellingShingle |
A probabilistic generalization of the Stirling numbers of the second kind Adell, J.A. |
| title_short |
A probabilistic generalization of the Stirling numbers of the second kind |
| title_full |
A probabilistic generalization of the Stirling numbers of the second kind |
| title_fullStr |
A probabilistic generalization of the Stirling numbers of the second kind |
| title_full_unstemmed |
A probabilistic generalization of the Stirling numbers of the second kind |
| title_sort |
A probabilistic generalization of the Stirling numbers of the second kind |
| dc.creator.none.fl_str_mv |
Adell, J.A. Lekuona, A. |
| author |
Adell, J.A. |
| author_facet |
Adell, J.A. Lekuona, A. |
| author_role |
author |
| author2 |
Lekuona, A. |
| author2_role |
author |
| description |
Associated to each random variable Y satisfying appropriate moment conditions, we introduce a different generalization of the Stirling numbers of the second kind. Some characterizations and specific examples of such generalized numbers are provided. As far as their applications are concerned, attention is focused in extending in various ways the classical formula for sums of powers on arithmetic progressions. Illustrations involving rising factorials, Bell polynomials, polylogarithms, and a certain class of Appell polynomials, in connection with appropriate random variables Y in each case, are discussed in detail. |
| publishDate |
2018 |
| dc.date.none.fl_str_mv |
2018 |
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info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
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article |
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acceptedVersion |
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http://zaguan.unizar.es/record/130437 |
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http://zaguan.unizar.es/record/130437 |
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Inglés |
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Inglés |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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reponame:Zaguán. Repositorio Digital de la Universidad de Zaragoza instname:Universidad de Zaragoza |
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Universidad de Zaragoza |
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Zaguán. Repositorio Digital de la Universidad de Zaragoza |
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Zaguán. Repositorio Digital de la Universidad de Zaragoza |
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1869423828399030273 |
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15.300719 |