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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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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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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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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A reflection formula for the Gaussian hypergeometric function of matrix argument
Journal of Mathematical Analysis and Applications11 ...
Richards, Donald, Zheng, Qifu
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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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Scaling the discrete-time Wright-Fisher model to biobank-scale datasets. [PDF]
Genetics, 2023 Spence JP +3 more
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Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law. [PDF]
Sci Rep, 2023 Ishkhanyan AM, Krainov VP.
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Towards the Simplest Model of Quantum Supremacy: Atomic Boson Sampling in a Box Trap. [PDF]
Entropy (Basel), 2023 Kocharovsky VV +3 more
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Explicit minimisers for anisotropic Riesz energies. [PDF]
Calc Var Partial Differ EquFrank RL +5 more
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