Results 11 to 20 of about 6,085 (261)
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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, 2020 The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces.
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Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus [PDF]
Journal of Scientific Computing, 2018 The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar function in matrix arguments may require the computation of derivatives of possible high order depending on the matrix spectrum.
Roberto Garrappa, Marina Popolizio
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Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Abstract and Applied Analysis, 2023 Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it.
Mohamed Niyaz +2 more
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T, Q and periods in SU(3) N $$ \mathcal{N} $$ = 2 SYM
Journal of High Energy Physics, 2020 We consider the third order differential equation derived from the deformed Seiberg-Witten differential for pure N $$ \mathcal{N} $$ = 2 SYM with gauge group SU(3) in Nekrasov- Shatashvili limit of Ω-background. We show that this is the same differential
Davide Fioravanti +2 more
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On the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties
Communications in Mathematics, 2022 The main objective of the present paper is to introduce and study the function $_pR_q(A, B; z)$ with matrix parameters and investigate the convergence of this matrix function. The contiguous matrix function relations, differential formulas and the integral representation for the matrix function $_pR_q(A, B; z)$ are derived.
Dwivedi, Ravi, Sanjhira, Reshma
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Some Representations of the Modified Degenerate Gamma Matrix Function [PDF]
Sahand Communications in Mathematical AnalysisThe main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have
İnci Ege, Kwara Nantomah
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A direct method for solving fractional order variational problems by hat basis functions
Ain Shams Engineering Journal, 2018 This paper presents a numerical technique for solving a class of fractional variational problems using a direct method based on operational matrix of generalized hat basis function. The fractional derivative is defined in the Caputo sense.Minimization of
Osama H. Mohammed
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Mathematics, 2022 Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol. First, we give a generalization of the extended incomplete Wright hypergeometric matrix function and state some integral equations and differential formulas about it.
Ahmed Bakhet +4 more
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Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices [PDF]
Transactions of the American Mathematical Society, 2006 The main motivation for this work is perhaps an application given to localised frames for Hilbert spaces \(\mathcal H\). A frame \({\mathcal E} = \{ e_x : x \in {\mathcal X}\} \subset {\mathcal H}\) indexed by \({\mathcal X} \subset {\mathbb R}^d\) is a subset with the property that the frame operator \(Sf = \sum_{x \in {\mathcal X}} \langle f, e_x ...
Gröchenig, Karlheinz, Leinert, Michael
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