General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials

We perform a further investigation for the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly-nomials. By making use of the generating function methods and summation transform techniques, we es- tablish some general convolution identities for the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. These results are the corresponding extensions of some known formulas including the general convolution identities discovered by Dilcher and Vignat [K. Dilcher, C. Vignat, J. Math. Anal. Appl., 435 (2016), 1478–1498] on the classical Bernoulli and Euler polynomials.