On Some Identities and Generating Functions for Mersenne Numbers and Polynomials

Ali Boussayoud¹, Mourad Chelgham^2, and Souhila Boughaba³

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

Cite this paper:
Ali Boussayoud, Mourad Chelgham and 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

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:
Mersenne numbers Generating functions Symmetric functions

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