Any symmetric polynomial (respectively, symmetric rational function) can be expressed as a Polynomial (respectively, Rational Function) in the Elementary Symmetric Functions on those variables.

**References**

Coolidge, J. L. *A Treatise on Algebraic Plane Curves.* New York: Dover, p. 2, 1959.

Herstein, I. N. *Noncommutative Rings.* Washington, DC: Math. Assoc. Amer., 1968.

© 1996-9

1999-05-26