On the Lagrange Interpolations of the Jacobsthal and Jacobsthal-Lucas Sequences
Dişkaya, Orhan
This study explores the formation of polynomials of at most degree $n$ using the first $n+1$ terms of the Jacobsthal and Jacobsthal-Lucas sequences through Lagrange interpolation. The paper provides a detailed examination of the recurrence relations and various identities associated with the Jacobsthal and Jacobsthal-Lucas Lagrange Interpolation Polynomials.
ON THE SEQUENCE OF GELL NUMBERS
Dişkaya, Orhan | Menken, Hamza
In this paper, we consider Pell numbers. We define the gell num- bers which generalize the Pell numbers. Moreover, we derive Binet-like for- mula, generating function and exponential generating function for the gell sequence. Also, we obtain the gell series and some important identities for the gell sequence.
SOME CONVERGENCE TYPES OF FUNCTION SEQUENCES AND THEIR RELATIONS
Erdem, Alper | Tunç, Tuncay
In this paper, we investigate various types of convergence for sequences of functions and examine the relationships among these types. Our ndings contribute to a deeper understanding of the structural properties of function sequences and their convergence behaviors.
On the Lagrange Interpolations of the Jacobsthal and Jacobsthal-Lucas Sequences
Dişkaya, Orhan
This study explores the formation of polynomials of at most degree nusing the first n+1 terms of the Jacobsthal and Jacobsthal-Lucas sequences through Lagrange interpolation. The paper provides a detailed examination of the recurrence relations and various identities associated with the Jacobsthal and Jacobsthal-Lucas Lagrange Interpolation Polynomials.