1 citations · 4 across the 8 of their papers we have counts for
8 papers
A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications
Said Zriaa, Mohammed Mouçouf
In this work, we define a more general family of polynomials in several variables satisfying a linear recurrence relation. Then we provide explicit formulas and determinantal expre…
Algebraic identities on q-harmonic numbers and q-binomial coefficients
Said Zriaa, Mohammed Mouçouf
The aim of this paper is to present a general algebraic identity. Applying this identity, we provide several formulas involving the q-binomial coefficients and the q-harmonic numbe…
Some Explicit Formulas for Matrix Exponential, Matrix Logarithm, the th Power of Matrices and their Drazin Inverses
Mohammed Mouçouf, Said Zriaa
In this work, new closed-form formulas for the matrix exponential are provided. Our method is direct and elementary, it gives tractable and manageable formulas not current in the e…
An explicit expression for the minimal polynomial of the Kronecker product of matrices. Explicit formulas for matrix logarithm and matrix exponential
Mohammed Mouçouf
Using -canonical forms of matrices, we derive the minimal polynomial of the Kronecker product of a given family of matrices in terms of the minimal polynomials of thes…
Some algebraic results concerning linear recurrence sequences
Mohammed Mouçouf
We study the set of all -vector spaces where is monic and splits over and denotes the set of linear recurrence sequences over with ch…
P-canonical forms and complete inverses
Mohammed Mouçouf
This paper describes a new kind of inverse for elements in associative ring, that is the complete inverse, as the unique solution of a certain set of equations. This inverse exists…
A closed-form expression for the kth power of semicirculant and r-circulant matrices
Mohammed Mouçouf
We derive a closed-form expression for the kth power of semicirculant matrices by using the determinant of certain matrices. As an application, a closed-form expression for the kth…
S-rings of Krull type
Mohammed Mouçouf
We define and give some properties and characterizations of S-rings of Krull type. We also determine, in the case of an independent S-ring of Krull type A, the injective dimension…