<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity. </p></abstract>

In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.

Horadam Octonions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Horadam Octonions"}

In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some...

Horadam Octonions

Published Online: Mar 31, 2018

Page range: 97 - 106

Received: Dec 19, 2016

Accepted: Mar 13, 2017

DOI: https://doi.org/10.1515/auom-2017-0038

Keywords
Fibonacci Numbers and Generalization, Octonions

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Horadam Octonions

Published Online: Mar 31, 2018

Page range: 97 - 106

Received: Dec 19, 2016

Accepted: Mar 13, 2017

DOI: https://doi.org/10.1515/auom-2017-0038

KeywordsFibonacci Numbers and Generalization, Octonions

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Fibonacci Numbers and Generalization, Octonions