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Series Expansion for a Hypergeometric Function of Matrix Argument with Applications
Author(s) -
Gupta Rameshwar D.,
Richards Donald St P.
Publication year - 1982
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1982.tb00827.x
Subject(s) - hypergeometric function of a matrix argument , generalized hypergeometric function , mathematics , basic hypergeometric series , confluent hypergeometric function , hypergeometric function , series (stratigraphy) , matrix (chemical analysis) , pure mathematics , argument (complex analysis) , matrix function , function (biology) , symmetric matrix , physics , paleontology , materials science , eigenvalues and eigenvectors , quantum mechanics , composite material , biology , biochemistry , chemistry , evolutionary biology
Summary A 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 T 0 2 statistic, and the smallest latent root of the covariance matrix.