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Research Article

ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS

Y
Yashwant K. Panwar Department of Mathematics, Government Model College, Jhabua, INDIA
A
Akhlak Mansuri Department of Mathematics, Government Girls College, Mandsaur, INDIA
J
Jaya Bhandari Department of Mathematics, Mandsaur University, Mandsaur, INDIA
Volume 18, Issue 2 Pages 13-26 August 30, 2022 346 downloads
Article overview

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 PolynomialsBivariate Lucas PolynomialsBinet's formula and two cross two matrix.

AMS Subject Classification

11B39.

Reference information

How to Cite

Yashwant K. Panwar, Akhlak Mansuri, Jaya Bhandari (2022). ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 13-26.
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