Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials

Khadidja Boubellouta^1, , Ali Boussayoud² and Mohamed Kerada³

¹LMAM Laboratory and Department of Mathematic, University Center of Mila, Mila, Algeria

²LMAM Laboratory and Department of Mathematic, Mohamed Seddik Ben Yahia University, Jijel, Algeria

³2LMAM Laboratory and Department of Mathematic, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Cite this paper:
Khadidja Boubellouta, Ali Boussayoud and Mohamed Kerada. Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials. Turkish Journal of Analysis and Number Theory. 2018; 6(3):98-102. doi: 10.12691/tjant-6-3-6

Abstract

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.

Keywords:
k-Fibonacci numbers k-Pell numbers k-Jacobsthal numbers generating functions symmetric functions

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