000130452 001__ 130452
000130452 005__ 20240125162930.0
000130452 0247_ $$2doi$$a10.1007/s00009-020-1480-1
000130452 0248_ $$2sideral$$a117190
000130452 037__ $$aART-2020-117190
000130452 041__ $$aeng
000130452 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, José A.$$uUniversidad de Zaragoza
000130452 245__ $$aA unified approach to higher order convolutions within a certain subset of appell polynomials
000130452 260__ $$c2020
000130452 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130452 5203_ $$aWe 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.
000130452 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P
000130452 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130452 590__ $$a1.4$$b2020
000130452 591__ $$aMATHEMATICS, APPLIED$$b129 / 265 = 0.487$$c2020$$dQ2$$eT2
000130452 591__ $$aMATHEMATICS$$b88 / 330 = 0.267$$c2020$$dQ2$$eT1
000130452 592__ $$a0.695$$b2020
000130452 593__ $$aMathematics (miscellaneous)$$c2020$$dQ2
000130452 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130452 700__ $$0(orcid)0000-0001-6555-4432$$aLekuona, Alberto$$uUniversidad de Zaragoza
000130452 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000130452 773__ $$g17, 2 (2020), 63 [17 pp.]$$pMediterranean Journal of Mathematics$$tMediterranean Journal of Mathematics$$x1660-5446
000130452 8564_ $$s323613$$uhttps://zaguan.unizar.es/record/130452/files/texto_completo.pdf$$yPostprint
000130452 8564_ $$s1020961$$uhttps://zaguan.unizar.es/record/130452/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130452 909CO $$ooai:zaguan.unizar.es:130452$$particulos$$pdriver
000130452 951__ $$a2024-01-25-15:11:49
000130452 980__ $$aARTICLE