On the (p,q)-fibonacci quaternion and octonion polynomials

This thesis consists of five chapters. The first chapter is devoted to the introduction. In the second chapter, we have given preliminaries and some basic definitions and theorems which will be used in the next sections. In the third chapter, (p,q)-Fibonacci and (p,q)-Lucas quaternion polynomials are defined and Binet formula, Catalan identity, Cassini identity, binomial summation formula and new identities corresponding generating function are derived. In the fourth chapter, (p,q)-Fibonacci and (p,q)-Lucas octonion polynomials are defined and some results which are similar to the (p,q)-Fibonacci and (p,q)-Lucas quaternion polynomials are computed. In the last chapter, we give the corollaries and suggestions of this thesis.