13th Regional Conference on Mathematical Physics, Antalya, Turkey, 27 - 31 October 2010, pp.61-70
In this work, we introduce and investigate the Hermite-Apostol-Bernoulli polynomials by means of a suitable generating function. We establish several interesting properties of these general polynomials. Furthermore, we prove Raabe relation and give some relations between 2-dimensional Hermite polynomials and Apostol-Bernoulli polynomials.