129765 20240109145021.0 sideral 135833 ART-2021-135833 eng Adell Pascual, José Antonio Universidad de Zaragoza (orcid)0000-0001-8331-5160 Explicit expressions for a certain subset of Appell polynomials: a probabilistic perspective 2021 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097621-B-I00 info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.259 2021 Discrete Mathematics and Combinatorics 2021 Q4 Algebra and Number Theory 2021 Q4 0.2 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Lekuona Amiano, Alberto Universidad de Zaragoza (orcid)0000-0001-6555-4432 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 21, A60 (2021), [10 pp.] Integers 1553-1732 http://math.colgate.edu/~integers/pvols.html Texto completo de la revista 275623 http://zaguan.unizar.es/record/129765/files/texto_completo.pdf Versión publicada 1122877 http://zaguan.unizar.es/record/129765/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:129765 articulos driver 2024-01-09-13:09:54 ARTICLE