Generalized apostol-type polynomial matrix and its algebraic properties

The aim of this paper is to introduce the generalized Apostol-type polynomial matrix W [m−1,α](x;c,a;λ;µ;ν) and the generalized Apos-tol-type matrix W [m−1,α](c,a;λ;µ;ν). Using some properties of the generalized Apostol-type polynomials and numbers, we deduce a product formula for W [m−1,α](x;c,a;λ;...