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Series Expansion for a Hypergeometric Function of Matrix Argument with Applications
Australian Journal of Statistics, 1982 SummaryA series expansion is obtained for the confluent hypergeometric function of the second kind when the argument is a 2 times 2 positive definite matrix. Applications are made to the distributions of Hotelling's generalized T02 statistic, and the smallest latent root of the covariance matrix.
Gupta, Rameshwar D. +1 more
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Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016 The hypergeometric function 1F1 of a matrix argument Y is a symmetric entire function in the eigenvalues y1,...,ym of Y. It appears in the distribution function of the largest eigenvalue of a Wishart matrix and its numerical evaluation is important in multivariate distribution theory. Hashiguchi et al. (J.
Masayuki Noro
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Representation computation for the hypergeometric function of a Hermitian matrix argument
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duong Thanh Phong
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, 2015 This paper derives central limit theorems (CLTs) for general linear spectral statistics (LSS) of three important multi-spiked Hermitian random matrix ensembles.
Damien Passemier +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Laplace approximations for hypergeometric functions with Hermitian matrix argument
, 2022 Ronald W. Butler, Andrew T. A. Wood
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