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Some Identities of the Modified (s,t) Jacobsthal and Modified (s,t) Jacobsthal – Lucas Numbers by the Matrix Method | Tatong | งดใช้ระบบ 3-31 กค 66 Burapha Science Journal

Some Identities of the Modified (s,t) Jacobsthal and Modified (s,t) Jacobsthal – Lucas Numbers by the Matrix Method

Mongkol - Tatong

Abstract


In this paper, we study the modified  Jacobsthal and modified  Jacobsthal – Lucas numbers, and we define the 2 x 2 matrices ,  and , which satisfies the relation    and . Moreover, we prove some identities of modified  Jacobsthal and modified  Jacobsthal – Lucas numbers, some identities 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.

Keywords :  modified  Jacobsthal number ; modified  Jacobsthal – Lucas number ; matrix method ;

                  Binet’s formulas


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References


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