He, YuanAraci, SerkanSrivastava, H.M.Abdel-Aty, Mahmoud2019-01-242019-01-2420182018-12He, Y., Araci, S., Srivastava, H.M. & Abdel-Aty, M. (2018). Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials. Mathematics, 6(12), 329. https://doi.org/10.3390/math6120329https://doi.org/10.3390/math6120329http://hdl.handle.net/1828/10539In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. Some results presented here are the corresponding extensions of several known formulas.enApostol-Bernoulli polynomialsApostol-Euler polynomialsApostol-Genocchi polynomialsconvolution identitiesstirling numbers of the first and second kindArticleDepartment of Mathematics and Statistics