Hypergeometric function of a matrix argument: Difference between revisions

Revision as of 06:49, 7 March 2007

Revision as of 04:40, 1 July 2008

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==The parameter <math>\alpha</math>==

In many publications the parameter <math>\alpha</math> is omitted. Also, in different publications different values of <math>\alpha</math> are being implicitly assumed. For example, in the theory of real random matrices (see, e.g., Muirhead, 1984), <math>\alpha=2</math> whereas in other settings (e.g., in the complex case--see Gross and Richards, 1989), <math>\alpha=1</math>. To make matters worse, in random matrix theory reserchersresearchers tend to prefer a parameter called <math>\beta</math> instead of <math>\alpha</math> which is used in combinatorics.

The thing to remember is that