Confluent hypergeometric function of second kind with matrix argument
type: Item
instance of: scholarly article
title: Confluent hypergeometric function of second kind with matrix argument
zbMATH Open document ID: 0608.33002
author: B. George
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this paper, we have generalized confluent hypergeometric function of second kind to the matrix argument. Its connections with certain other special functions defined by Herz, some of its differential properties, and an interesting confluence have also been established. In the last section, we have applied our theory in the field of multivariate statistical analysis by finding the distribution of Bartlett's criterion: \[ V_ 1=\frac{(\det A_ 1)^{{1/2}n_ 1}(\det A_ 2)^{{1/2}n_ 2}}{\det (A_ 1+A_ 2)^{1/2}(n_ 1+n_2)} \] for testing the hypothesis: \(H_ 1=\Sigma_ 1=\Sigma_ 2\).
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 3983610
zbMATH Keywords: hypergeometric function of second kind
zbMATH Keywords: matrix argument
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3983610