ON 3-PARAMETER GENERALIZED QUATERNIONS WITH THE LEONARDO p-SEQUENCE

Abstract

In this article, 3-parameter generalized quaternionic Leonardo -sequence which is a quaternion generalization of the Leonardo -sequence is presented. Several properties are examined by means of their homogeneous and non-homogeneous recursive relations. According to the special cases of 3-parameter lambda(i is an element of{1,2,3,}) and , all the results given in paper are reducible to all quaternions mentioned in this paper