The elementary symmetric functions on variables
are defined by
(1) | |||
(2) | |||
(3) | |||
(4) | |||
(5) |
(6) |
(7) | |||
(8) | |||
(9) |
See also Fundamental Theorem of Symmetric Functions, Newton's Relations, Symmetric Function
References
Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.