On hypercomplex numbers with third-order $k$-Jacobsthal numbers

• Datum: 2026
• 1. Verfasser: Morales, Gamaliel
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8969
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We introduce a new family of hypercomplex numbers by using third-order $k$-Jacobsthal numbers. These sequences are called the third-order $k$-Jacobsthal $2^{r}$-ions. We present some algebraic properties of the third order $k$-Jacobsthal $2^{r}$-ions, such as the recurrence relation, the B...