eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-06-21 6 3 98 102 10.12691/tjant-6-3-6 TJANT2018636 article Khadidja Boubellouta boubelouta.khadidja@gmail.com 1 Ali Boussayoud 2 Mohamed Kerada 3 LMAM Laboratory and Department of Mathematic, University Center of Mila, Mila, Algeria LMAM Laboratory and Department of Mathematic, Mohamed Seddik Ben Yahia University, Jijel, Algeria 2LMAM Laboratory and Department of Mathematic, Mohamed Seddik Ben Yahia University, Jijel, Algeria In this paper, we derive new generating functions for the products of k-Fibonacci numbers, k-Pell numbers, k-Jacobsthal numbers and the Chebychev polynomials of the second kind by making use of useful properties of the symmetric functions. http://pubs.sciepub.com/tjant/6/3/6/tjant-6-3-6.pdf k-Fibonacci numbers k-Pell numbers k-Jacobsthal numbers generating functions symmetric functions