eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2019--1-28 7 6 145 149 10.12691/tjant-7-6-2 TJANT2019762 article Burak KURT Corresponding author: burakkurt@akdeniz.edu.tr 1 Akdeniz University, Educations Faculty, Department of Mathematics, Antalya-TURKEY Many kinds of generalizations of these polynomials and numbers have been presented in the literature (see [1,2]). Bayad and Hamahata in [1] introduced and investigated the poly-Bernoulli polynomials and proved some relations for these polynomials. Cenkci and Kamatsu in [3] are defined q-parameter poly-Bernoulli numbers. They proved some relations between these polynomials. Kim et al. in ([4,5]) defined poly-Genocchi polynomials and gave the some properties for the multiple-poly-Bernoulli numbers and multiple-zeta values. We introduce the Hermite-based poly-Genocchi polynomials with a q-parameter. After, we give and investigate some properties and identities for these polynomials. Furthermore, we prove closed formula and two explicit relations. http://pubs.sciepub.com/tjant/7/6/2/tjant-7-6-2.pdf the Genocchi polynomials and numbers the 2-variable Hermite-Kamp¨¦ de Feri¨¦t polynomials the polylogarithm function the poly-Genocchi polynomials