Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach
Resumen: We show that the Stirling numbers of the first and second kind can be represented in terms of moments of appropriate random variables. This allows us to obtain, in a unified way, a variety of old and new explicit expressions and integral representations of such numbers.
Idioma: Inglés
DOI: 10.1186/s13662-019-2337-4
Año: 2019
Publicado en: Advances in Difference Equations 2019, 1 (2019), 398 [11 pp.]
ISSN: 1687-1839

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 2.421 (2019)
Categ. JCR: MATHEMATICS, APPLIED rank: 24 / 260 = 0.092 (2019) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 14 / 324 = 0.043 (2019) - Q1 - T1

Factor impacto SCIMAGO: 0.677 - Algebra and Number Theory (Q2) - Applied Mathematics (Q2) - Analysis (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P
Tipo y forma: Article (Published version)
Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)

Creative Commons 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.


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 Record created 2019-11-27, last modified 2020-07-16


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