On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis
Open Access
- 1 January 2021
- journal article
- research article
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 19 (1) , 583-599
Abstract
In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras. Explicit and recurrent formulae for Split Quaternacci sequences are given, as well as generating functions. Also, matrices related to Split Quaternaccis sequences are investigated. Moreover, new identities connecting Horadam sequences with other known sequences are generated. Analogous identities for Horadam quaternions and split Horadam quaternions are proved.Keywords
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