eng Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 2013-12-03 1 1 54 58 10.12691/tjant-1-1-11 TJANT20131111 article Burak Kurt burakkurt@akdeniz.edu.tr 1 Department of Mathematical Education, Faculty of Educations, Akdeniz University, TR-07058 Antalya, Turkey The main objective of this paper is to introduce and investigate two new classes of generalized Apostol-Bernoulli polynomials Bn[m-1,](x;c,;) and Apostol-Euler polynomials n[m-1,](x;c,;). In particular, we obtain addition formula for the new class of the generalized Apostol-Bernoulli polynomials. We also give some recurrence relations and Raabe relations for these polynomials. http://pubs.sciepub.com/tjant/1/1/11/tjant-1-1-11.pdf Bernoulli polynomials and numbersApostol-Bernoulli polynomialsApostol-Euler polynomialsGeneralized Apostol-Bernoulli polynomials