ON THE PADOVAN ARRAYS
Dişkaya, Orhan | Menken, Hamza
In the present work, two new recurrences of the Padovan sequence given with delayed initial conditions are defined. Some identities of these sequences which we call the Padovan arrays were examined. Also, generating and series functions of the Padovan arrays are examined.
PADOVAN POLYNOMIALS MATRIX
Dişkaya, Orhan | Menken, Hamza
In this paper, we explore the Padovan numbers and polynomials, and define the Padovan polynomials matrix. We obtain its Binet-like formula and a sum formula. Subsequently, we derive the Padovan polynomials matrix series. Additionally, we establish the generating and exponential generating functions for the Padovan polynomials matrix.
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.