Article citationsMore >>

A. Boussayoud, M. Boulyer, M. Kerada, On Some Identities and Symmetric Functions for Lucas and Pell Numbers, Electron .J.Math. AnalysisAppl. 5, 2017, 202-207.

has been cited by the following article:

Article

On the k -Lucas Numbers and Lucas Polynomials

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

2Department of Mathematics, University of Jordan, Amman 11942, Jordan


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 4, 121-125
DOI: 10.12691/tjant-5-4-1
Copyright © 2017 Science and Education Publishing

Cite this paper:
Ali Boussayoud, Mohamed Kerada, Nesrine Harrouche. On the k -Lucas Numbers and Lucas Polynomials. Turkish Journal of Analysis and Number Theory. 2017; 5(4):121-125. doi: 10.12691/tjant-5-4-1.

Correspondence to: Ali  Boussayoud, LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria. Email: aboussayoud@yahoo.fr

Abstract

In this paper, we introduce an operator in order to derive some new symmetric properties of -Lucas numbers and Lucas polynomials. By making use of the operator defined in this paper, we give some new generating functions for -Lucas numbers and Lucas polynomials.

Keywords