Ihab-Eddine Djellas
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View article: Weighted binomial sums using characters of the symmetric group
Weighted binomial sums using characters of the symmetric group Open
Irreducible characters plays a crucial role in the representation theory of finite groups, namely the symmetric group Sn. In the current paper, we use the irreducible characters of Sn to define new weighted binomial coefficient sums. We us…
View article: Determinantal and permanental representations of companion sequences associated to the r-Fibonacci sequence
Determinantal and permanental representations of companion sequences associated to the r-Fibonacci sequence Open
Recently companion sequences of r-Fibonacci sequence were defined. The aim of this paper is to give some determinantal and permanental representations of these sequences via Hessenberg matrices. Several representations of classical sequenc…