On generalized incomplete Fibonacci quaternions

The aim of this thesis is to examine in detail the main results and proofs about the incomplete Fibonacci and Lucas quaternions and a generalization of these quaternions that have been found recently in the literature after giving the necessary background information. This study consists of five chapters in total. In the first part of this thesis, the aim of the thesis and the literature summary necessary for its content are mentioned. In the second part, basic definitions, concepts and basic theorems are given. In the third chapter, the main properties and results about incomplete Fibonacci and Lucas quaternions are presented. In the fourth chapter, the results available in the literature about generalized incomplete Fibonacci and Lucas quaternions are shared and the proofs of some of them are given in detail. In the fifth chapter, the results and recommendations are presented.