Newton-Girard Formulas

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

			(3)
			(4)
			(5)
			(6)

REFERENCES:

Séroul, R. "Newton-Girard Formulas." §10.12 in Programming for Mathematicians. Berlin: Springer-Verlag, pp. 278-279, 2000.