engAdell Pascual, José AntonioLekuona Amiano, AlbertoExplicit expressions for a certain subset of Appell polynomials: a probabilistic perspectiveART-2021-135833We 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.2021http://zaguan.unizar.es/record/129765http://zaguan.unizar.es/record/129765oai:zaguan.unizar.es:129765info:eu-repo/grantAgreement/ES/DGA/E64info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097621-B-I00info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-PIntegers 21, A60 (2021), [10 pp.]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess