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A. Boussayoud, M. Kerada, Symmetric and Generating Functions, Int. Electron. J. Pure Appl. Math. 7, 195-203(2014).

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Article

On Some Identities and Generating Functions for Mersenne Numbers and Polynomials

1LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

2LMAM Laboratory and Departement of Mathematics, Freres Mentouri Constantine1 University, Algeria

3Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeri


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 3, 93-97
DOI: 10.12691/tjant-6-3-5
Copyright © 2018 Science and Education Publishing

Cite this paper:
Ali Boussayoud, Mourad Chelgham, Souhila Boughaba. On Some Identities and Generating Functions for Mersenne Numbers and Polynomials. Turkish Journal of Analysis and Number Theory. 2018; 6(3):93-97. doi: 10.12691/tjant-6-3-5.

Correspondence to: Mourad  Chelgham, LMAM Laboratory and Departement of Mathematics, Freres Mentouri Constantine1 University, Algeria. Email: chelghamm@yahoo.fr

Abstract

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.

Keywords