130438 20240125162930.0 doi 10.1007/s11139-018-0026-7 sideral 107571 ART-2018-107571 eng Adell, J.A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 Closed form expressions for Appell polynomials 2018 We show that any Appell sequence can be written in closed form as a forward difference transformation of the identity. Such transformations are actually multipliers in the abelian group of the Appell polynomials endowed with the operation of binomial convolution. As a consequence, we obtain explicit expressions for higher order convolution identities referring to various kinds of Appell polynomials in terms of the Stirling numbers. Applications of the preceding results to generalized Bernoulli and Apostol–Euler polynomials of real order are discussed in detail. 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/ 1.01 2018 MATHEMATICS 89 / 313 = 0.284 2018 Q2 T1 0.977 2018 Algebra and Number Theory 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lekuona, A. Universidad de Zaragoza (orcid)0000-0001-6555-4432 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 49 (2018), 567–583 Ramanujan j. RAMANUJAN JOURNAL 1382-4090 159852 http://zaguan.unizar.es/record/130438/files/texto_completo.pdf Postprint 1001461 http://zaguan.unizar.es/record/130438/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130438 articulos driver 2024-01-25-15:10:36 ARTICLE