A NOTE FOR THE $(p,q)-$FIBONACCI AND LUCAS QUATERNION POLYNOMIALS

Year 2017, Volume: 5 Issue: 2, 36 - 46, 15.10.2017

Arzu Özkoç , Ayhan Porsuk

Abstract

In this article, we have introduced the $(p,q)-$Fibonacci and Lucas quaternion polynomials which are based on the $(p,q)-$Fibonacci and Lucas polynomials respectively. Some new identities are derived for these polynomials. The various results obtained here, include Binet formula, Catalan identity, binomial sum formula and generating function.

Keywords

Fibonacci Polynomials, generating function, Fibonacci quaternion

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