Elementary Symmetric Function
The elementary symmetric functions 
on 
variables 
are defined by
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
 | |  | (4) |
 | |  | (5) |
Alternatively,
can be defined as the coefficient of 
in the Generating Function | (6) |
 | |  | (7) |
 | |  | (8) |
 | |  | (9) |
(Beeler et al. 1972, Item 6).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.
- Butterfly Fractal
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