doi:10.1186/s13662-017-1250-yengAdell, J.A.Lekuona, A.Note on two extensions of the classical formula for sums of powers on arithmetic progressionsART-2017-100711We give two extensions of the classical formula for sums of powers on arithmetic progressions. This is achieved by using an identity involving binomial mixtures, which can be viewed as a generalization of the binomial transform.2017http://zaguan.unizar.es/record/6194810.1186/s13662-017-1250-yhttp://zaguan.unizar.es/record/61948oai:zaguan.unizar.es:61948info:eu-repo/grantAgreement/ES/DGA/E64info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-PAdvances in Difference Equations 2017, 1 (2017), [5 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess