1 citations · 1 across the 6 of their papers we have counts for
6 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…
Explicit, recurrent, determinantal expressions of the th power of formal power series and applications to the generalized Bernoulli numbers
Said Zriaa, Mohammed Mouçouf
In this work, the authors provide closed forms and recurrence expressions for computing the th power of the formal power series, some of them in terms of a determinant of some m…
A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function
Said Zriaa
By using the elementary symmetric polynomials and some results of number theory, we solve the well known problem of Lehmer on Euler's totient function. As application, we obtain a…
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…
New approaches for solving linear confluent Vandermonde systems and inverse of their corresponding matrices via Taylor's expansion
M. Moucouf, S. Zriaa
In this paper, we present a novel method to compute an explicit formula for the inverse of the confluent Vandermonde matrices. Our proposed results may have many interesting perspe…
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…