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
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A reflection formula for the Gaussian hypergeometric function of matrix argument [PDF]
Journal of Mathematical Analysis and Applications, 2020 11 ...
Richards, Donald, Zheng, Qifu
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Heterogeneous hypergeometric functions with two matrix arguments and the exact distribution of the largest eigenvalue of a singular beta-Wishart matrix [PDF]
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
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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
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Istanbul Journal of MathematicsSummary: We investigate the several special functions defined by a matrix integral on the Hermitian matrix space of size n. They are the matrix argument analogues of the Gauss hypergeometric, Kummer's confluent hypergeometric, the Bessel, the Hermite-Weber and Airy functions which play important roles in the multivariate statistical analysis and the ...
Hironobu Kimura
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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
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New formulas of convolved Pell polynomials
AIMS MathematicsThe 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.
Waleed Mohamed Abd-Elhameed +1 more
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On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. [PDF]
Entropy (Basel), 2023 Thankamani P, Sebastian N, Haubold HJ.
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HypergeoMat: Hypergeometric Function of a Matrix Argument [PDF]
, 2019 Stéphane Laurent
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Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument [PDF]
, 1970 Robb J. Muirhead
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