Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
Mathematics, 2022 The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal +3 more
doaj +5 more sources
Extended k-Gamma and k-Beta Functions of Matrix Arguments [PDF]
Mathematics, 2020 Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented ...
Ghazi S. Khammash +2 more
doaj +5 more sources
Infinite Matrix Products and the Representation of the Matrix Gamma Function [PDF]
Abstract and Applied Analysis, 2015 We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass.
J.-C. Cortés +3 more
doaj +6 more sources
On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions [PDF]
Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
doaj +4 more sources
Computation of matrix gamma function [PDF]
BIT Numerical Mathematics, 2019 Matrix functions with potential applications have a major role in science and engineering. One of the fundamental matrix functions, which is particularly important due to its connections with certain matrix differential equations and other special matrix functions, is the matrix gamma function.
Cardoso, João R., Sadeghi, Amir
semanticscholar +5 more sources
Asymptotics of the modified bessel and the incomplete gamma matrix functions
Applied Mathematics Letters, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sastre, J., Jódar, L.
semanticscholar +4 more sources
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 $A \in \mathbb{C}^{n \times n}$.
Shinya Miyajima
openaire +4 more sources
γ-irradiation modulates vascular smooth muscle cell and extracellular matrix function: implications for neointimal development [PDF]
Journal of Vascular Surgery, 2004 Migration of vascular smooth muscle cells (SMCs) into the subintimal space, and their proliferation and resultant deposition of extracellular matrix are key processes in the development of intimal hyperplasia, leading to vascular recurrent stenosis.
HECKENKAMP J. +5 more
openaire +4 more sources
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
doaj +2 more sources
Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications [PDF]
Ingeniería y Ciencia, 2016 In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar +2 more
doaj +3 more sources