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On Determinantal Symmetric Functions

Published online by Cambridge University Press:  20 January 2009

Zia-ud-Din
Zia-ud-Din
Affiliation:
University of Edinburgh.
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§ 1. The theory of symmetric polynomials abounds in dual identities and symmetries of various kinds. It has been investigated from the determinantal standpoint largely by means of quotients of alternants, such as,

the denominator being the difference product of a, b, c, …, a simple alternant.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , Issue 1 , March 1934 , pp. 47 - 52
Copyright
Copyright © Edinburgh Mathematical Society 1934

References

REFERENCES

1. Historical details of the progress of bi-alternant theory will be found in Muir's “History of Determinants,” Vols. 1–4, and the “History of Determinants,” 1900–1920.Google Scholar
2.Aitken, , Proc. Edin. Math. Soc. (2), 1 (1927), 55–61 ; 2 (1931), 104–7.CrossRefGoogle Scholar
3.MacMahon, , “ Combinatory Analysis,” 1 (1910), 205.Google Scholar