10 citations · 13 across the 4 of their papers we have counts for
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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…
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…
Explicit expression for a family of ternary cyclotomic polynomials
Ala'a Al-Kateeb, Hoon Hong, Eunjeong Lee
In this paper, we give an explicit expression for a certain family of ternary cyclotomic polynomials: specifically , where are odd primes s…