## $$q$$-extensions for the Apostol-Genocchi polynomials.(English)Zbl 1189.11016

Summary: In this paper, we define the Apostol-Genocchi polynomials and $$q$$-Apostol-Genocchi polynomials. We give the generating function and some basic properties of $$q$$-Apostol-Genocchi polynomials. Several interesting relationships are also obtained.

### MSC:

 11B83 Special sequences and polynomials 11M35 Hurwitz and Lerch zeta functions 11S40 Zeta functions and $$L$$-functions 33E20 Other functions defined by series and integrals 05A30 $$q$$-calculus and related topics
Full Text: