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The Symmetric Functions of which the General Determinant is a particular case

Published online by Cambridge University Press:  24 October 2008

P. A. MacMahon
P. A. MacMahon
Affiliation:
St John's College.
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Extract

I consider functions of numerical magnitudes ast, where s, t may each assume the values 1,2, … n.

Symmetric functions are those which are unaltered by the whole of the substitutions of the n integers, when they are applied simultaneously to both suffixes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 22 , Issue 5 , July 1925 , pp. 633 - 654
Copyright
Copyright © Cambridge Philosophical Society 1925

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References

* Trans. Camb. Phil Soc., vol. 23, No. 5, pp. 89–135.Google Scholar

* Comb. Anal. vol. 1, p. 234.Google Scholar

* See Sylvester, , Phil. Mag. 1, 1851, p 295et seq.CrossRefGoogle Scholar