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He, Yuan; Araci, Serkan; Srivastava, Hari; Abdel-Aty, Mahmoud
Mathematics, 12/2018, Letnik: 6, Številka: 12Journal Article
In 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.
