The identities between the symmetric polynomials and the sums of th powers of their variables
|
(1)
|
The identities are given by
|
(2)
|
for each
and for an arbitrary number of variables . The first few identities are
See also
Power Sum,
Symmetric
Polynomial
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References
Séroul, R. "Newton-Girard Formulas." §10.12 in Programming
for Mathematicians. Berlin: Springer-Verlag, pp. 278-279, 2000.Referenced
on Wolfram|Alpha
Newton-Girard Formulas
Cite this as:
Weisstein, Eric W. "Newton-Girard Formulas."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Newton-GirardFormulas.html
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