Generating Functions of Modified Pell Numbers and Bivariate Complex Fibonacci Polynomials

Souhila Boughaba¹, Ali Boussayoud^1, and Khadidja Boubellouta¹

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

Cite this paper:
Souhila Boughaba, Ali Boussayoud and Khadidja Boubellouta. Generating Functions of Modified Pell Numbers and Bivariate Complex Fibonacci Polynomials. Turkish Journal of Analysis and Number Theory. 2019; 7(4):113-116. doi: 10.12691/tjant-7-4-3

Abstract

In this paper, we introduce a operator in order to derive a new generating functions of modified k- Pell numbers, Gaussian modified Pell numbers. By making use of the operator defined in this paper, we give some new generating functions for Bivariate Complex Fibonacci and Lucas Polynomials, modified Pell Polynomials and Gaussian modified Pell Polynomials.

Keywords:
Symmetric functions Generating functions modified k- Pell numbers Bivariate Complex Fibonacci Polynomials Bivariate Complex Lucas Polynomials

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