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pro vyhledávání: '"Said Zriaa"'
Autor:
Said Zriaa, Mohammed Mouçouf
Publikováno v:
Mathematica Bohemica, Vol 149, Iss 3, Pp 397-408 (2024)
We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also deri
Externí odkaz:
https://doaj.org/article/092e4161edd34da9ad018d65d25ca1b4
Autor:
Said Zriaa, Mohammed Mouçouf
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
In this paper, a novel and simple method for obtaining the Chevalley-Jordan decomposition and the spectral projections of matrices is presented. Our method is direct and elementary, it gives tractable and manageable formulas with minimum mathematic
Externí odkaz:
https://doaj.org/article/bdef9a65057841aba13df778bc5bc218
Autor:
Mohammed Mouçouf, Said Zriaa
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
In this work, new closed-form formulas for the matrix exponential are provided using certain polynomials which are constructed with the help of a generalization of Hermite's interpolation formula. Our method is direct and elementary, it gives tractab
Externí odkaz:
https://doaj.org/article/db0db8be911a4b0799e1c0cc3dd5f173
Autor:
Mohammed Mouçouf, Said Zriaa
Publikováno v:
Linear and Multilinear Algebra. 70:5973-5986
In this paper, a novel method is presented to compute an explicit formula for the inverse of the confluent Vandermonde matrices. The proposed results may have many interesting perspectives in diver...