Luo, Qiu-Ming \(q\)-extensions for the Apostol-Genocchi polynomials. (English) Zbl 1189.11016 Gen. Math. 17, No. 2, 113-125 (2009). 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. Cited in 24 Documents 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 Keywords:\(q\)-Genocchi polynomials; \(q\)-Apostol-Genocchi polynomials; \(q\)-Hurwitz-Lerch zeta function; \(q\)-Goyal-Laddha-Hurwitz-Lerch zeta function PDF BibTeX XML Cite \textit{Q.-M. Luo}, Gen. Math. 17, No. 2, 113--125 (2009; Zbl 1189.11016) Full Text: EuDML OpenURL