On complex gaussian jacobsthal and jacobsthal-lucas quaternions

Abstract

The main aim of this work is to introduce the complex Gaussian Jacobsthal and JacobsthalLucas quaternions and investigate their structures. We obtain the recurrence relations, Binetformulas and generating functions for these quaternions. We also give their Cassini identitiesby using Binet formulas. Furthermore, we prove some results for these quaternions such assummation formulas.