000130438 001__ 130438 000130438 005__ 20240125162930.0 000130438 0247_ $$2doi$$a10.1007/s11139-018-0026-7 000130438 0248_ $$2sideral$$a107571 000130438 037__ $$aART-2018-107571 000130438 041__ $$aeng 000130438 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, J.A.$$uUniversidad de Zaragoza 000130438 245__ $$aClosed form expressions for Appell polynomials 000130438 260__ $$c2018 000130438 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130438 5203_ $$aWe 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. 000130438 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P 000130438 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130438 590__ $$a1.01$$b2018 000130438 591__ $$aMATHEMATICS$$b89 / 313 = 0.284$$c2018$$dQ2$$eT1 000130438 592__ $$a0.977$$b2018 000130438 593__ $$aAlgebra and Number Theory$$c2018$$dQ1 000130438 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130438 700__ $$0(orcid)0000-0001-6555-4432$$aLekuona, A.$$uUniversidad de Zaragoza 000130438 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000130438 773__ $$g49 (2018), 567–583$$pRamanujan j.$$tRAMANUJAN JOURNAL$$x1382-4090 000130438 8564_ $$s159852$$uhttps://zaguan.unizar.es/record/130438/files/texto_completo.pdf$$yPostprint 000130438 8564_ $$s1001461$$uhttps://zaguan.unizar.es/record/130438/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130438 909CO $$ooai:zaguan.unizar.es:130438$$particulos$$pdriver 000130438 951__ $$a2024-01-25-15:10:36 000130438 980__ $$aARTICLE