130452 20240125162930.0 doi 10.1007/s00009-020-1480-1 sideral 117190 ART-2020-117190 eng Adell, José A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 A unified approach to higher order convolutions within a certain subset of appell polynomials 2020 We consider the subset R of Appell polynomials whose exponential generating function is given in terms of the moment generating function of a certain random variable Y. This subset contains the Hermite, Bernoulli, Apostol–Euler, and Cauchy type polynomials, as well as various kinds of their generalizations, among others. We obtain closed form expressions for higher order convolutions of Appell polynomials in the subset R. We give a unified approach mainly based on random scale transformations of Appell polynomials, as well as on a probabilistic generalization of the Stirling numbers of the second kind. Different illustrative examples, including reformulations of convolution identities already known in the literature, are discussed in detail. In such examples, the convolution identities involve the classical Stirling numbers. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.4 2020 MATHEMATICS, APPLIED 129 / 265 = 0.487 2020 Q2 T2 MATHEMATICS 88 / 330 = 0.267 2020 Q2 T1 0.695 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lekuona, Alberto Universidad de Zaragoza (orcid)0000-0001-6555-4432 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 17, 2 (2020), 63 [17 pp.] Mediterranean Journal of Mathematics Mediterranean Journal of Mathematics 1660-5446 323613 http://zaguan.unizar.es/record/130452/files/texto_completo.pdf Postprint 1020961 http://zaguan.unizar.es/record/130452/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130452 articulos driver 2024-01-25-15:11:49 ARTICLE