000130437 001__ 130437
000130437 005__ 20240125162930.0
000130437 0247_ $$2doi$$a10.1016/j.jnt.2018.07.003
000130437 0248_ $$2sideral$$a107560
000130437 037__ $$aART-2018-107560
000130437 041__ $$aeng
000130437 100__ $$0(orcid)0000-0001-8331-5160$$aAdell, J.A.$$uUniversidad de Zaragoza
000130437 245__ $$aA probabilistic generalization of the Stirling numbers of the second kind
000130437 260__ $$c2018
000130437 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130437 5203_ $$aAssociated to each random variable Y satisfying appropriate moment conditions, we introduce a different generalization of the Stirling numbers of the second kind. Some characterizations and specific examples of such generalized numbers are provided. As far as their applications are concerned, attention is focused in extending in various ways the classical formula for sums of powers on arithmetic progressions. Illustrations involving rising factorials, Bell polynomials, polylogarithms, and a certain class of Appell polynomials, in connection with appropriate random variables Y in each case, are discussed in detail.
000130437 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130437 590__ $$a0.684$$b2018
000130437 591__ $$aMATHEMATICS$$b181 / 313 = 0.578$$c2018$$dQ3$$eT2
000130437 592__ $$a0.837$$b2018
000130437 593__ $$aAlgebra and Number Theory$$c2018$$dQ1
000130437 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130437 700__ $$0(orcid)0000-0001-6555-4432$$aLekuona, A.$$uUniversidad de Zaragoza
000130437 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000130437 773__ $$g194 (2018), 335-355$$pJ. number theory$$tJOURNAL OF NUMBER THEORY$$x0022-314X
000130437 8564_ $$s447456$$uhttps://zaguan.unizar.es/record/130437/files/texto_completo.pdf$$yPostprint
000130437 8564_ $$s1268008$$uhttps://zaguan.unizar.es/record/130437/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130437 909CO $$ooai:zaguan.unizar.es:130437$$particulos$$pdriver
000130437 951__ $$a2024-01-25-15:10:33
000130437 980__ $$aARTICLE