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On generalized commutative Leonardo quaternions and their generalization | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 دی 1404 اصل مقاله (371.99 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.30871.2653 | ||
| نویسندگان | ||
| Hasan Gökbaş* 1؛ Anetta Szynal-Liana2 | ||
| 1Department of Mathematics, University of Bitlis Eren, Bitlis, Turkey | ||
| 2Department of Discrete Mathematics, Rzeszow University of Technology, Rzeszów, Poland | ||
| چکیده | ||
| In this paper, we give some properties of the generalized commutative Leonardo quaternions, among others the Binet formula, generating function, and the general bilinear index-reduction formula which imply d'Ocagne, Vajda, Halton, Catalan, and Cassini identities. We also give the matrix representations and some sum formulas of the generalized commutative Leonardo quaternions. Moreover, we present a one-parameter generalization of the generalized commutative Leonardo quaternions and their properties. | ||
| کلیدواژهها | ||
| generalized commutative Leonardo quaternions؛ generalized Fibonacci-Leonardo numbers؛ Leonardo numbers؛ recurrence relations | ||
| مراجع | ||
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