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The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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Extended matrix variate gamma and beta functions
The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Daya K. Nagar +2 more
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Expected Values of Scalar-Valued Functions of a Complex Wishart Matrix
The complex Wishart distribution has ample applications in science and engineering. In this paper, we give explicit expressions for E(tr(Wh))g(tr(Wj))i and E(tr(W−h))g(tr(W−j))i, respectively, for particular values of g, h, i, j, g+h+i+j≤5, where W ...
Daya K. Nagar +2 more
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The Gamma Deposition Matrix Method for Coupled Neutron-gamma Reactor Heating Calculations [PDF]
This thesis concerns the development of an approximate model to predict the energy deposited by gammas following a gamma-release reaction in a light water reactor.
Wang, Xinyan
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Generalized Matrix Variate Gamma Distribution : Some Properties and Related distributions [PDF]
A new type of generalized matrix variate gamma distribution is defined. The proposed distribution is the matrix variate analog of Agarwal and Kalla (1996) scalar generalized gamma distribution.
Ghazal A. Ghazal
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On the two variables κ-Appell hypergeometric matrix functions
This work aims to introduce [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] and [Formula: see text], where [Formula: see text].
Muneera Abdullah Qadha +2 more
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Matrix solutions of the functional equation of the gamma function
The general solution of the equation \(f(\lambda +1)=\lambda f(\lambda)\) is \(f(\lambda)=h(\lambda)\Gamma (\lambda),\) where \(\Gamma\) is the gamma function and h is an arbitrary function of period 1. The principal result in this paper is the determination of the matrix-valued functions f of the matrix variable A which satisfy the functional ...
Heuvers, Konrad J., Moak, Daniel
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On A Matrix Hypergeometric Differential Equation
In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd +2 more
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Linear systems and determinantal random point fields. [PDF]
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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Characterization and use of Stilbene scintillator for neutron metrology and spectrometry from 100 keV to 22 MeV [PDF]
Stilbene scintillators have now the capability to extend the neutron energy measurement from 100 keV to 1 MeV. To be used as spectrometers, scintillators have to be characterized in entire energy range covered.
Quevauvillers Diane +3 more
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