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Keywords = Konhauser matrix polynomial

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23 pages, 362 KB  
Article
Some Relations on the rRs(P,Q,z) Matrix Function
by Ayman Shehata, Ghazi S. Khammash and Carlo Cattani
Axioms 2023, 12(9), 817; https://doi.org/10.3390/axioms12090817 - 25 Aug 2023
Cited by 1 | Viewed by 1275
Abstract
In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such as [...] Read more.
In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such as the gamma, beta, and Gauss hypergeometric matrix functions. We will also show the relationship with other generalized special matrix functions in the context of the Konhauser and Laguerre matrix polynomials. Full article
(This article belongs to the Special Issue Mathematical Models and Simulations)
12 pages, 278 KB  
Article
On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals
by Ahmed Bakhet and Fuli He
Mathematics 2020, 8(2), 232; https://doi.org/10.3390/math8020232 - 10 Feb 2020
Cited by 13 | Viewed by 2656
Abstract
In this paper, we first introduce the 2-variables Konhauser matrix polynomials; then, we investigate some properties of these matrix polynomials such as generating matrix relations, integral representations, and finite sum formulae. Finally, we obtain the fractional integrals of the 2-variables Konhauser matrix polynomials. [...] Read more.
In this paper, we first introduce the 2-variables Konhauser matrix polynomials; then, we investigate some properties of these matrix polynomials such as generating matrix relations, integral representations, and finite sum formulae. Finally, we obtain the fractional integrals of the 2-variables Konhauser matrix polynomials. Full article
(This article belongs to the Special Issue Polynomials: Theory and Applications)
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