Matrix Representation of Bi-Periodic Jacobsthal Sequence
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 31 Jan 2020
10.9734/jamcs/2019/v34i630234Abstract
In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal matrix sequence. We dene it as with initial conditions J0 = I identity matrix, . We obtained the nth general term of this new matrix sequence. By studying the properties of this new matrix sequence, the well-known Cassini or Simpson's formula was obtained. We then proceed to find its generating function as well as the Binet formula. Some new properties and two summation formulas for this new generalized matrix sequence were also given.
Cited by 3
Şükran Uygun, Hasan Karatas · Communications in Mathematics and Applications · 2019
Kübra GÜL · Journal of Mathematics Research · 2019
Mustapha Rachidi, Fatih Yılmaz · Logic Journal of IGPL · 2024
Related research
- A Note Concerning Generalized Complex k-Horadam and Generalized Gaussian k-Horadam Squences — shares topic coverage
- A New Generalization of Jacobsthal Lucas Numbers (Bi-Periodic Jacobsthal Lucas Sequence) — shares topic coverage
- On the Dual δ − k − Fibonacci Numbers — shares topic coverage
- Iterated Binomial Transforms of the k-Fibonacci Sequence — shares topic coverage
- Modeling Life Time Data by Generalized Weibull-generalized Exponential Distribution — shares topic coverage
Article metrics
Real usage data collected on this platform.
6
Page views
0
PDF downloads
0
Outbound clicks
3
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.