Results 1 to 10 of about 17,312 (176)
The efficient evaluation of the hypergeometric function of a matrix argument [PDF]
Mathematics of Computation, 2006 We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix.
Koev, Plamen, Edelman, Alan
core +7 more sources
A reflection formula for the Gaussian hypergeometric function of matrix argument [PDF]
Journal of Mathematical Analysis and Applications, 2020 11 ...
Richards, Donald, Zheng, Qifu
semanticscholar +6 more sources
Algebraic analysis of the hypergeometric function $$\,{_1F_{\!\!\;1}}\,$$ of a matrix argument [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020 AbstractIn this article, we investigate Muirhead’s classical system of differential operators for the hypergeometric function $$\,{_1F_{\!\!\;1}}\,$$ 1
Paul Görlach +2 more
openaire +6 more sources
Extended k-Gamma and k-Beta Functions of Matrix Arguments
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 +2 more sources
Eigenvalue distributions of beta-Wishart matrices [PDF]
, 2018 We derive explicit expressions for the distributions of the extreme eigenvalues of the Beta-Wishart random matrices in terms of the hypergeometric function of a matrix argument. These results generalize the classical results for the real (β = 1), complex
Edelman, Alan, Koev, Plamen S
core +2 more sources
Journal of Multivariate Analysis, 2021 This paper discusses certain properties of heterogeneous hypergeometric functions with two matrix arguments. These functions are newly defined but have already appeared in statistical literature and are useful when dealing with the derivation of certain distributions for the eigenvalues of singular beta-Wishart matrices.
Shimizu, Koki, Hashiguchi, Hiroki
openaire +3 more sources
Fractional operators in the matrix variate case [PDF]
Fractional Calculus and Applied Analysis, 2013 Fractional integral operators connected with real-valued scalar functions of matrix argument are applied in various problems of mathematics, statistics and natural sciences.
A. Mathai, H. Haubold
semanticscholar +2 more sources
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems [PDF]
, 2020 Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions.
Rosengren, Hjalmar +1 more
core +2 more sources
New formulas of convolved Pell polynomials
AIMS Mathematics, 2023 The article investigates a class of polynomials known as convolved Pell polynomials. This class generalizes the standard class of Pell polynomials. New formulas related to convolved Pell polynomials are established.
W. Abd-Elhameed, Anna Napoli
semanticscholar +1 more source
On Some Unifications Arising from the MIMO Rician Shadowed Model [PDF]
, 2015 This paper shows that the proposed Rician shadowed model for multi-antenna communications allows for the unification of a wide set of models, both for multiple-input multiple-output (MIMO) and single- input single-output (SISO) communications.
Martos-Naya, Eduardo +1 more
core +2 more sources