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.

Keywords

• Fibonacci Polynomials,generating function,Fibonacci quaternion

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