Results 21 to 30 of about 207,481 (278)

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

open access: yesOpen Physics, 2022
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
doaj   +1 more source

Extended matrix variate gamma and beta functions

open access: yesJournal of Multivariate Analysis, 2013
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
openaire   +2 more sources

Expected Values of Scalar-Valued Functions of a Complex Wishart Matrix

open access: yesMathematics, 2023
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
doaj   +1 more source

The Gamma Deposition Matrix Method for Coupled Neutron-gamma Reactor Heating Calculations [PDF]

open access: yes, 2021
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
core   +1 more source

Generalized Matrix Variate Gamma Distribution : Some Properties and Related distributions [PDF]

open access: yesThe Egyptian Statistical Journal, 2009
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
doaj   +1 more source

On the two variables κ-Appell hypergeometric matrix functions

open access: yesApplied Mathematics in Science and Engineering, 2023
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
doaj   +1 more source

Matrix solutions of the functional equation of the gamma function

open access: yesAequationes Mathematicae, 1987
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
openaire   +2 more sources

On A Matrix Hypergeometric Differential Equation

open access: yesمجلة العلوم البحتة والتطبيقية, 2021
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
doaj   +1 more source

Linear systems and determinantal random point fields. [PDF]

open access: yes, 2008
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core   +1 more source

Characterization and use of Stilbene scintillator for neutron metrology and spectrometry from 100 keV to 22 MeV [PDF]

open access: yesEPJ Web of Conferences, 2023
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
doaj   +1 more source

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