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

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.