Sukran Uygun

Matrix Representation of Bi-Periodic Jacobsthal Sequence

Sukran Uygun & Evans Owusu · Journal of Advances in Mathematics and Computer Science · 2020

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 seq...

Open access Research Article 10.9734/jamcs/2019/v34i630234

A New Generalization of Jacobsthal Lucas Numbers (Bi-Periodic Jacobsthal Lucas Sequence)

Sukran Uygun & Evans Owusu · Journal of Advances in Mathematics and Computer Science · 2020

In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as   with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for...

Open access Research Article 10.9734/jamcs/2019/v34i530226