JOURNAL OF SCIENCE AND ARTS, sa.1, ss.57-66, 2021 (ESCI)
In this paper, bicomplex balancing quaternions and bicomplex Lucas-balancing quaternions was defined. Moreover we give some properties involving these sequences. Finally, a different way to obtained the n th terms of these sequence is stated using the determinant of tridiagonal matrix whose entries are bicomplex balancing quaternions and bicomplex Lucas-balancing quaternions.