Some Identities of the Modified Jacobsthal and Modified Jacobsthal – Lucas Numbers by the Matrix Method

Mongkol    Tatong

Authors

Mongkol Tatong Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi

Keywords:

modified Jacobsthal number, modified Jacobsthal – Lucas number, matrix method, Binet's formulas

Abstract

In this paper, we study the modified Jacobsthal and modified Jacobsthal – Lucas numbers, and we define the 2 x 2 matrices , , , which satisfy the relation , , and . Moreover, we prove some identities of modified Jacobsthal and modified Jacobsthal – Lucas numbers, some of the relation between modified Jacobsthal and modified Jacobsthal – Lucas numbers, and some sum formulas for modified Jacobsthal and modified Jacobsthal – Lucas numbers by using these matrices. In this paper, we study the modified Jacobsthal and modified Jacobsthal – Lucas numbers, and we define the 2 x 2 matrices , , , which satisfy the relation , , and . Moreover, we prove some identities of modified Jacobsthal and modified Jacobsthal – Lucas numbers, some of the relation between modified Jacobsthal and modified Jacobsthal – Lucas numbers, and some sum formulas for modified Jacobsthal and modified Jacobsthal – Lucas numbers by using these matrices.

References

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