Science and Education Publishing
Turkish Journal of Analysis and Number Theory
ISSN Pending
1
1
2013
12
03
Some Relationships between the Generalized Apostol-Bernoulli and Apostol-Euler Polynomials
54
58
EN
Burak
Kurt
Department of Mathematical Education, Faculty of Educations, Akdeniz University, TR-07058 Antalya, Turkey
TJANT20131111
10.12691/tjant-1-1-11
2013
11
28
2013
11
30
2013
12
03
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.