Results 11 to 20 of about 207,481 (278)
Matrix-valued special functions and representation theory of the conformal group. I. The generalized gamma function [PDF]
Transactions of the American Mathematical Society, 1980 This article examines in detail the matrix-valued gamma function \[ Γ
Gross, Kenneth I., Holman, Wayne J.
openaire +3 more sources
Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 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 ...
Ayman Shehata +2 more
doaj +2 more sources
Properties of Matrix Variate Confluent Hypergeometric Function Distribution [PDF]
Journal of Probability and Statistics, 2016 We study matrix variate confluent hypergeometric function kind 1 distribution which is a generalization of the matrix variate gamma distribution. We give several properties of this distribution. We also derive density functions of X2-1/2X1X2-1/2, (X1+X2)-
Arjun K. Gupta +2 more
doaj +2 more sources
Bimatrix variate Kummer-gamma distribution
Results in Applied Mathematics, 2021 In this article, we propose a bimatrix variate Kummer-gamma distribution. Several properties of this distribution including moment generating function, marginal and conditional distributions, moments are also derived.
Daya K. Nagar +2 more
doaj +2 more sources
A truncated matrix variate gamma distribution
Results in Applied MathematicsA truncated form of a matrix variate gamma distribution is introduced and a number of properties of this distribution such as cumulative distribution function, orthogonal invariance, moment generating function, marginal distribution of block matrices ...
Shokofeh Zinodiny +2 more
doaj +3 more sources
Tumor Microenvironment-Associated Extracellular Matrix Components Regulate NK Cell Function
Frontiers in Immunology, 2020 The tumor microenvironment (TME) is composed of multiple infiltrating host cells (e.g., endothelial cells, fibroblasts, lymphocytes, and myeloid cells), extracellular matrix, and various secreted or cell membrane-presented molecules.
Gustavo Rodrigues Rossi +2 more
doaj +2 more sources
$L^p$-improving properties of certain singular measures on the Heisenberg group [PDF]
Mathematica Bohemica, 2022 Let $\mu_A$ be the singular measure on the Heisenberg group $\mathbb{H}^n$ supported on the graph of the quadratic function $\varphi(y) = y^tAy$, where $A$ is a $2n \times2n$ real symmetric matrix. If $\det(2A \pm J) \neq0$, we prove that the operator of
Pablo Rocha
doaj +1 more source
Function correction and Lagrange – Jacobi type interpolation [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 It is well-known that the Lagrange interpolation based on the Chebyshev nodes may be divergent everywhere (for arbitrary nodes, almost everywhere), like the Fourier series of a summable function.
Novikov, Vladimir Vasil’evich
doaj +1 more source
Generalized Matrix t Distribution Based on New Matrix Gamma Distribution
Revstat Statistical Journal, 2022 In this paper a generalized matrix variate gamma distribution, which includes a trace function in the kernel of the density, is introduced. Some important statistical properties including Laplace transform, distributions of functions, expected value of ...
Anis Iranmanesh +3 more
doaj +1 more source
Verified computation of matrix gamma function [PDF]
Linear and Multilinear Algebra, 2020 Two numerical algorithms are proposed for computing an interval matrix containing the matrix gamma function. In 2014, the author presented algorithms for enclosing all the eigenvalues and basis of invariant subspaces of $A \in \mathbb{C}^{n \times n}$.
openaire +2 more sources