A study on hyperbolic numbers with generalized Jacobsthal numbers components | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 157، دوره 13، شماره 2، مهر 2022، صفحه 1965-1981 اصل مقاله (393.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22113.2328 | ||
| نویسندگان | ||
| Yumksel Soykan1؛ Erkan Taşdemir* 2 | ||
| 1Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 67100, Zonguldak, Turkey | ||
| 2Kirklareli University, Pinarhisar Vocational School, 39300, Kirklareli, Turkey | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Jacobsthal numbers؛ Jacobsthal-Lucas numbers؛ hyperbolic numbers؛ hyperbolic Jacobsthal numbers؛ Cassini identity | ||
| مراجع | ||
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