Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach

Adell, José A. (Universidad de Zaragoza) ; Lekuona, Alberto (Universidad de Zaragoza)

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)