Explicit expressions for a certain subset of Appell polynomials: a probabilistic perspective

Adell Pascual, José Antonio (Universidad de Zaragoza) ; Lekuona Amiano, Alberto (Universidad de Zaragoza)

Resumen: We consider the class Et(Y) of Appell polynomials whose generating function is given by means of a real power t of the moment generating function of a certain random variable Y. For such polynomials, we obtain explicit expressions depending on the moments of Y. It turns out that various kinds of generalizations of Bernoulli and Apostol-Euler polynomials belong to Et(Y) and can be written and investigated in a unified way. In particular, explicit expression for such polynomials can be given in terms of suitable probabilistic generalizations of the Stirling numbers of the second kind.

Idioma: Inglés

Año: 2021

Publicado en: Integers 21, A60 (2021), [10 pp.]
ISSN: 1553-1732

Originalmente disponible en: Texto completo de la revista

Factor impacto CITESCORE: 0.2 - Mathematics (Q4)

Factor impacto SCIMAGO: 0.259 - Discrete Mathematics and Combinatorics (Q4) - Algebra and Number Theory (Q4)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097621-B-I00
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)