Results 1 to 10 of about 2,914,239 (184)
The q-Laguerre matrix polynomials. [PDF]
Springerplus, 2016 The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved.
Salem A.
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Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family
Fractal and Fractional, 2022 The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
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On 2-Variables Konhauser Matrix Polynomials and Their Fractional Integrals
Mathematics, 2020 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.
Ahmed Bakhet, Fuli He
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On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials
Mathematics, 2020 The generalization of Rodrigues’ formula for orthogonal matrix polynomials has attracted the attention of many researchers. This generalization provides new integral and differential representations in addition to new mathematical results that are ...
Mohra Zayed +3 more
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Some relations on Humbert matrix polynomials [PDF]
Mathematica Bohemica, 2016 The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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Two Variables Shivley's Matrix Polynomials [PDF]
Symmetry, 2019 The principal object of this paper is to introduce two variable Shivley’s matrix polynomials and derive their special properties. Generating matrix functions, matrix recurrence relations, summation formula and operational representations for these ...
Fuli He, A. Bakhet, M. Hidan, M. Abdalla
semanticscholar +3 more sources
Algebraic linearizations of matrix polynomials [PDF]
Linear Algebra and its Applications, 2018 We show how to construct linearizations of matrix polynomials $z\mathbf{a}(z)\mathbf{d}_0 + \mathbf{c}_0$, $\mathbf{a}(z)\mathbf{b}(z)$, $\mathbf{a}(z) + \mathbf{b}(z)$ (when $\mathrm{deg}\left(\mathbf{b}(z)\right) < \mathrm{deg}\left(\mathbf{a}(z)\right)
Eunice Y. S. Chan +4 more
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On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of *-palindromic matrix polynomials [PDF]
Linear Algebra and its Applications, 2022 We study the eigendecompositions of para-Hermitian matrices $H(z)$, that is, matrix-valued functions that are analytic and Hermitian on the unit circle $S^1 \subset \mathbb C$.
Giovanni Barbarino, V. Noferini
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Distance problems for dissipative Hamiltonian systems and related matrix polynomials [PDF]
Linear Algebra and its Applications, 2020 We study the characterization of several distance problems for linear differential-algebraic systems with dissipative Hamiltonian structure. Since all models are only approximations of reality and data are always inaccurate, it is an important question ...
C. Mehl, V. Mehrmann, M. Wojtylak
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Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2017 The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Ayman Shehata, Lalit Mohan Upadhyaya
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