In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers,
whichshall also be called the bi-periodic Jacobsthal Lucas sequence as^ cn={b^ cn1+ 2 …

In this paper we consider a generalized bi-periodic Fibonacci {fn} and a generalized bi-
periodic Lucas sequence {qn} which are respectively defined by f 0= 0, f 1= 1, fn= afn− 1+ …

In this article, we have examined the propagation of acoustic waves at normal incidence in a
quasi-periodic 1D Fibonacci-type structure in comparison with a periodic system. This …

In the present paper, we define a new generalization of Pascal's triangle called the bi-
periodic Pascal's triangle. We give the recurrence relation associated with the sum of …

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 obtained the …

In this paper, the bi-periodic Jacobsthal Lucas sequence will be carried to matrix algebra.
The terms of the bi-periodic Jacobsthal Lucas matrix sequence are the bi-periodic …

In this paper, we define bi-periodic (p, q)-Fibonacci and bi-periodic (p, q)-Lucas sequences,
which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic …

Cette thèse se situe à l'interface de la combinatoire énumérative et de la théorie des
nombres, elle porte d'une part sur l'étude des suites récurrentes bi-périodiques d'ordre deux …

In this study, a generalization of the Pell sequence called biperiodic Pell sequence is carried
out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix …

In this study, we introduce a generalization of Pell-Lucas matrix sequence called bi-periodic
Pell-Lucas matrix sequence by bi-periodic Pell-Lucas numbers. We find generating function …