10 citations · 16 across the 7 of their papers we have counts for
8 papers
Generalized Balancing and Balancing-Lucas numbers
Hasan Al-Zoubi, Ala'a Al-Kateeb
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divis…
On the number of terms of some families of the ternary cyclotomic polynomials
Ala'a Al-Kateeb, Afnan Dagher
We study the number of non-zero terms in two specific families of ternary cyclotomic polynomial, we find formulas for the number of terms by writing the cyclotomic polynomial as a…
Jacobsthal and Jacobsthal-Lucas numbers with Lehmar property
Ala'a Al-Kateeb
In this note, we prove that there is no number with the Lehmer property in the sequences of Jaconsthsl or Jacobsthal-Lucas numbers.
A Generalization of Jacobsthal and Jacobsthal-Lucas numbers
Alaa Al-Kateeb
In this paper, we study a generalization of Jacobsthal and Jacobsthal-Lucas numbers, we find their generating function binet formulas, related matrix representation and many other…
Maximum gap in cyclotomic polynomials
Ala'a Al-Kateeb, Mary Ambrosino, Hoon Hong +1
Cyclotomic polynomials play fundamental roles in number theory, combinatorics, algebra and their applications. Hence their properties have been extensively investigated. In this pa…
An Encoding-Decoding algorithm based on Padovan numbers
Jenan Shtayat, Alaa Al-Kateeb
In this paper, we propose a new of coding/decoding algorithm using Padovan Q-matrices. This method is based on blocked message matrices. an advantage of this method is that the enc…