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On four Inequalities in Symmetric Functions

Published online by Cambridge University Press:  20 January 2009

J. B. McLeod
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Let us denote by α the set of n real numbers α1, …, αn, and by ck(α) and hk(α) the elementary and complete symmetric functions of degree k in α1, …, αn, and by ck(α) and hk(α) the elementary and complete symmetric functions of degree k in αl, …, αn, i.e. ck(α) is the sum of all possible products of k different αi and hk(α) is the sum of all possible products of k αi, where now in any product one or more αi may be repeated any number of times.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 4 , November 1959 , pp. 211 - 219
Copyright
Copyright © Edinburgh Mathematical Society 1959

References

REFERENCES

Marcus, M. and Lopes, L., Canadian J. of Math., 9 (1957), 305–12.CrossRefGoogle Scholar
Sylvester, J. J., Quart. J. of Math., 1 (1855), 42–56.Google Scholar
Boole, G., Phil. Trans. Roy. Soc, 152 (1862), 225–52.Google Scholar