Pure and Applied Mathematics Quarterly
Volume 14 (2018)
On $J(r,n)$-Jacobsthal quaternions
Pages: 579 – 590
In this paper we introduce the $J(r, n)$-Jacobsthal quaternions and give some of their properties, among others the Binet formula, convolution identity and the generating function.
Jacobsthal numbers, quaternions, recurrence relations
2010 Mathematics Subject Classification
Primary 11B37. Secondary 11R52.
Received 17 April 2019
Accepted 6 August 2019
Published 5 November 2019