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

Authors : Arzu ÖZKOÇ, Ayhan PORSUK

Pages : 36-46

View : 19 | Download : 7

Publication Date : 2017-10-15

Article Type : Research Paper

Abstract :In this article, we have introduced the $insert ignore into journalissuearticles values(p,q);-$Fibonacci and Lucas quaternion polynomials which are based on the $insert ignore into journalissuearticles values(p,q);-$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