ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 207

Abstract

In this paper, we present the sum of $s+1$ consecutive member of Bivariate Fibonacci Polynomials and Bivariate Lucas Polynomials and related identities consisting even and odd terms. We present its two cross two matrix and ?nd interesting properties such as nth power of the matrix. Also, we present the identity which generalizes Catlan’s, Cassini’s and d’Ocagne’s identity. Binet’s formula will employ to obtain the identities.

Keywords and Phrases

Bivariate Fibonacci Polynomials, Bivariate Lucas Polynomials, Binet's formula and two cross two matrix.

A.M.S. subject classification

11B39.

.....

Download PDF 207 Click here to Subscribe now