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IV.—On an X-Determinant which includes as Particular Cases both “Determinants” and “Permanents”

Published online by Cambridge University Press:  15 September 2014

P. A. MacMahon
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Extract

1. I define the X-determinant in the following manner. It is of order n.

where x denotes any numerical quantity, and observe that it becomes a determinant or permanent according as x takes the value −1 or +1.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 44 , 1925 , pp. 21 - 22
Copyright
Copyright © Royal Society of Edinburgh 1925

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References

page 21 note * “A certain Class of Generating Functions in the Theory of Numbers,” Phil. Trans. R.S. of London, clxxxv, pp. 111–160 (1893).Google Scholar

page 22 note * Phil. Mag. (5), xxxviii, pp. 537–541 (1894).Google Scholar