A study on hyperbolic numbers with generalized Jacobsthal numbers components
نویسندگان
1 Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey
2 Kirklareli University, Pinarhisar Vocational School, 39300, Kirklareli, Turkey
doi
10.22075/ijnaa.2021.22113.2328چکیده
In this paper, we introduce the generalized hyperbolic Jacobsthal numbers. As special cases, we deal with hyperbolic Jacobsthal and hyperbolic Jacobsthal-Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's identities and present matrices related with these sequences.
