gamma matrix

gamma matrix

[′gam·ə ‚mā·triks]
(quantum mechanics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The modified Gamma matrix and the incomplete Bessel function were studied in [18] and the Humbert matrix functions in [19, 20].
Following [5], we introduce the Gamma matrix function for a positive stable matrix M as
Using infinite matrix products [23], the Gamma matrix function can be extended to matrices with only non-negative-integer eigenvalues, i.e., -n [not member of] [sigma](M) for n [member of] N \ {0}.
The next lemma (see Lemma 2 from [12]) characterizes the relationship between Beta and Gamma matrix function.
In the next step, we use the relationship [GAMMA](L + kI) = [(L).sub.k][GAMMA](L) for Gamma matrix functions and the identity
As L and L+(1-b) I commute, also the matrix exponential and hence their Gamma matrix function commute.
This is possible, because examining the residues of the Gamma matrix function, we get