eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2018-06-20
6
3
93
97
10.12691/tjant-6-3-5
TJANT2018635
article
On Some Identities and Generating Functions for Mersenne Numbers and Polynomials
Ali Boussayoud
1
Mourad Chelgham
chelghamm@yahoo.fr
2
Souhila Boughaba
3
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
LMAM Laboratory and Departement of Mathematics, Freres Mentouri Constantine1 University, Algeria
Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeri
In this paper, we introduce a new operator in order to derive some properties of homogeneous symmetric functions. By making use of the proposed operator, we give some new generating functions for Mersenne numbers, Mersenne numbers and product of sequences and Chebychev polynomials of second kind.
http://pubs.sciepub.com/tjant/6/3/5/tjant-6-3-5.pdf
Mersenne numbers
Generating functions
Symmetric functions