FILOMAT, cilt.30, sa.3, ss.583-592, 2016 (SCI-Expanded)
The purpose of this paper is to introduce and investigate a new unification of unified family of Apostol-type polynomials and numbers. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We give explicit relations for these polynomials and recurrence relations related to multiple power sums.