Konu Başlıkları
quaternions
170401
ON THE (p, q)− FIBONACCI N−DIMENSIONAL RECURRENCES
Dişkaya, Orhan | Menken, Hamza
In this study, one-dimensional, two-dimensional, three-dimensional and n−dimensional recurrences of the (p, q)−Fibonacci sequence are examined and their some identities are given.
170399
The m−Order Linear Recursive Quaternions
Dişkaya, Orhan | Menken, Hamza
This study considers the m−order linear recursive sequences yielding some well-known sequences (such as the Fibonacci, Lucas, Pell, Jacobsthal, Padovan, and Perrin sequences). Also, the Binet-like formulas and generating functions of the m−order linear recursive sequences have been derived. Then, we define the m−order linear recursive quaternions, and give the Binet-like formulas and generating functions for them.