Key points are not available for this paper at this time.
It is shown that the hypergeometric function of m m scalar matrix argument (cf. Herz, Annals of Math. , 61 (1955), pp. 474–523) may be expressed as the Pfaffian of a matrix whose entries are evaluated in terms of classical hypergeometric functions. Applications, in multivariate statistical theory, are made to the distributions of eigenvalues of various random matrices.
Gupta et al. (Mon,) studied this question.