eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2019-10-18 7 5 135 139 10.12691/tjant-7-5-2 TJANT2019752 article Hind Merzouk 1 Ali Boussayoud aboussayoud@yahoo.fr 1 Mourad Chelgham 1 LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria In this paper, we will recover the generating functions of generalized polynomials of second order. The technic used her is based on the theory of the so called symmetric functions. http://pubs.sciepub.com/tjant/7/5/2/tjant-7-5-2.pdf generating functions generalized polynomials of second order symmetric functions