A probabilistic generalization of the Stirling numbers of the second kind
Adell, J.A. (Universidad de Zaragoza) ; Lekuona, A. (Universidad de Zaragoza)
Resumen: 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.
Idioma: Inglés
DOI: 10.1016/j.jnt.2018.07.003
Año: 2018
Publicado en: JOURNAL OF NUMBER THEORY 194 (2018), 335-355
ISSN: 0022-314X
Factor impacto JCR: 0.684 (2018)
Categ. JCR: MATHEMATICS rank: 181 / 313 = 0.578 (2018) - Q3 - T2
Factor impacto SCIMAGO: 0.837 - Algebra and Number Theory (Q1)
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2024-01-25-15:10:33)
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Idioma: Inglés
DOI: 10.1016/j.jnt.2018.07.003
Año: 2018
Publicado en: JOURNAL OF NUMBER THEORY 194 (2018), 335-355
ISSN: 0022-314X
Factor impacto JCR: 0.684 (2018)
Categ. JCR: MATHEMATICS rank: 181 / 313 = 0.578 (2018) - Q3 - T2
Factor impacto SCIMAGO: 0.837 - Algebra and Number Theory (Q1)
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2024-01-25-15:10:33)
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Record created 2024-01-25, last modified 2024-01-25